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5428340892 = 223213372271381
BaseRepresentation
bin1010000111000110…
…11110100010011100
3112000022101021210200
411003203132202130
542104123402032
62254352103500
7251343064512
oct50343364234
915008337720
105428340892
11233617a947
121075b34b90
13686813c40
14396d224b2
1521b86747c
hex1438de89c

5428340892 has 144 divisors (see below), whose sum is σ = 15254427552. Its totient is φ = 1616785920.

The previous prime is 5428340891. The next prime is 5428340899. The reversal of 5428340892 is 2980438245.

It is a super-3 number, since 3×54283408923 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428340891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3930042 + ... + 3931422.

Almost surely, 25428340892 is an apocalyptic number.

5428340892 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428340892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627213776).

5428340892 is an abundant number, since it is smaller than the sum of its proper divisors (9826086660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5428340892 is a wasteful number, since it uses less digits than its factorization.

5428340892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5428340892 is about 73677.2752753520. The cubic root of 5428340892 is about 1757.4745213546.

The spelling of 5428340892 in words is "five billion, four hundred twenty-eight million, three hundred forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 227 234 333 444 454 468 481 666 681 908 962 1332 1362 1381 1443 1924 2043 2724 2762 2886 2951 4086 4143 4329 5524 5772 5902 8172 8286 8399 8658 8853 11804 12429 16572 16798 17316 17706 17953 24858 25197 26559 33596 35412 35906 49716 50394 51097 53118 53859 71812 75591 100788 102194 106236 107718 109187 151182 153291 161577 204388 215436 218374 302364 306582 313487 323154 327561 436748 459873 613164 626974 646308 655122 664261 919746 940461 982683 1253948 1310244 1328522 1839492 1880922 1965366 1992783 2657044 2821383 3761844 3930732 3985566 4075331 5642766 5978349 7971132 8150662 11285532 11599019 11956698 12225993 16301324 23198038 23913396 24451986 34797057 36677979 46396076 48903972 69594114 73355958 104391171 139188228 146711916 150787247 208782342 301574494 417564684 452361741 603148988 904723482 1357085223 1809446964 2714170446 5428340892