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5427100728 = 2332748722111
BaseRepresentation
bin1010000110111101…
…01111110000111000
3112000020001021121200
411003132233300320
542103314210403
62254305334200
7251326411050
oct50336576070
915006037550
105427100728
112335503115
121075637360
1368649b60a
14396abc560
1521b6beca3
hex1437afc38

5427100728 has 96 divisors (see below), whose sum is σ = 16833423360. Its totient is φ = 1547346240.

The previous prime is 5427100709. The next prime is 5427100741. The reversal of 5427100728 is 8270017245.

5427100728 is a `hidden beast` number, since 542 + 7 + 100 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5427100692 and 5427100701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234393 + ... + 256503.

It is an arithmetic number, because the mean of its divisors is an integer number (175348160).

Almost surely, 25427100728 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 5427100728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416711680).

5427100728 is an abundant number, since it is smaller than the sum of its proper divisors (11406322632).

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

5427100728 is a wasteful number, since it uses less digits than its factorization.

5427100728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22617 (or 22610 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5427100728 is about 73668.8586038904. The cubic root of 5427100728 is about 1757.3406730525.

The spelling of 5427100728 in words is "five billion, four hundred twenty-seven million, one hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 487 504 974 1461 1948 2922 3409 3896 4383 5844 6818 8766 10227 11688 13636 17532 20454 22111 27272 30681 35064 40908 44222 61362 66333 81816 88444 122724 132666 154777 176888 198999 245448 265332 309554 397998 464331 530664 619108 795996 928662 1238216 1392993 1591992 1857324 2785986 3714648 5571972 10768057 11143944 21536114 32304171 43072228 64608342 75376399 86144456 96912513 129216684 150752798 193825026 226129197 258433368 301505596 387650052 452258394 603011192 678387591 775300104 904516788 1356775182 1809033576 2713550364 5427100728