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428008575798 = 233103179429901
BaseRepresentation
bin1100011101001110100…
…11001001001100110110
31111220202122122102221000
412032213103021030312
524003030143411143
6524342513104130
742631310603256
oct6164723111466
91456678572830
10428008575798
11155576756a01
126ab4b258046
133149026c60b
1416a03d45966
15b2007a5bd3
hex63a74c9336

428008575798 has 64 divisors (see below), whose sum is σ = 965731852800. Its totient is φ = 140494759200.

The previous prime is 428008575749. The next prime is 428008575809. The reversal of 428008575798 is 897575800824.

428008575798 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 0 + 8 + 57 + 579 + 8 = 666.

428008575798 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4280085757982 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 780648 + ... + 1210548.

It is an arithmetic number, because the mean of its divisors is an integer number (15089560200).

Almost surely, 2428008575798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428008575798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482865926400).

428008575798 is an abundant number, since it is smaller than the sum of its proper divisors (537723277002).

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

428008575798 is a wasteful number, since it uses less digits than its factorization.

428008575798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430194 (or 430188 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 428008575798 in words is "four hundred twenty-eight billion, eight million, five hundred seventy-five thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 103 179 206 309 358 537 618 927 1074 1611 1854 2781 3222 4833 5562 9666 18437 36874 55311 110622 165933 331866 429901 497799 859802 995598 1289703 2579406 3869109 7738218 11607327 23214654 44279803 76952279 88559606 132839409 153904558 230856837 265678818 398518227 461713674 692570511 797036454 1195554681 1385141022 2077711533 2391109362 4155423066 7926084737 15852169474 23778254211 47556508422 71334762633 142669525266 214004287899 428008575798