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5428038408 = 23313191675483
BaseRepresentation
bin1010000111000100…
…10100101100001000
3112000021210220212120
411003202110230020
542104034212113
62254341411240
7251340364602
oct50342245410
915007726776
105428038408
112335a93661
121075a09b20
13686739360
14396c84172
1521b807a23
hex143894b08

5428038408 has 128 divisors (see below), whose sum is σ = 15478041600. Its totient is φ = 1572500736.

The previous prime is 5428038397. The next prime is 5428038419. The reversal of 5428038408 is 8048308245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5428038397) and next prime (5428038419).

It is a self number, because there is not a number n which added to its sum of digits gives 5428038408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987235 + ... + 992717.

It is an arithmetic number, because the mean of its divisors is an integer number (120922200).

Almost surely, 25428038408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428038408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739020800).

5428038408 is an abundant number, since it is smaller than the sum of its proper divisors (10050003192).

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

5428038408 is a wasteful number, since it uses less digits than its factorization.

5428038408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 5428038408 is about 73675.2224835460. Note that the first 3 decimals coincide. The cubic root of 5428038408 is about 1757.4418767701.

The spelling of 5428038408 in words is "five billion, four hundred twenty-eight million, thirty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 167 228 247 312 334 456 494 501 668 741 988 1002 1336 1482 1976 2004 2171 2964 3173 4008 4342 5483 5928 6346 6513 8684 9519 10966 12692 13026 16449 17368 19038 21932 25384 26052 32898 38076 41249 43864 52104 65796 71279 76152 82498 104177 123747 131592 142558 164996 208354 213837 247494 285116 312531 329992 416708 427674 494988 570232 625062 833416 855348 915661 989976 1250124 1354301 1710696 1831322 2500248 2708602 2746983 3662644 4062903 5417204 5493966 7325288 8125806 10834408 10987932 11903593 16251612 17397559 21975864 23807186 32503224 34795118 35710779 47614372 52192677 69590236 71421558 95228744 104385354 139180472 142843116 208770708 226168267 285686232 417541416 452336534 678504801 904673068 1357009602 1809346136 2714019204 5428038408