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57428928 = 2632179557
BaseRepresentation
bin1101101100010…
…0101111000000
311000001200200100
43123010233000
5104200211203
65410522400
71265065164
oct333045700
9130050610
1057428928
112a465227
1217296400
13bb8991b
1478acca4
155095ea3
hex36c4bc0

57428928 has 84 divisors (see below), whose sum is σ = 165826440. Its totient is φ = 19001856.

The previous prime is 57428923. The next prime is 57428929. The reversal of 57428928 is 82982475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57428923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102826 + ... + 103382.

Almost surely, 257428928 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 57428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82913220).

57428928 is an abundant number, since it is smaller than the sum of its proper divisors (108397512).

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

57428928 is a wasteful number, since it uses less digits than its factorization.

57428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 57428928 is about 7578.1876461328. The cubic root of 57428928 is about 385.8130409097.

The spelling of 57428928 in words is "fifty-seven million, four hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 179 192 288 358 537 557 576 716 1074 1114 1432 1611 1671 2148 2228 2864 3222 3342 4296 4456 5013 5728 6444 6684 8592 8912 10026 11456 12888 13368 17184 17824 20052 25776 26736 34368 35648 40104 51552 53472 80208 99703 103104 106944 160416 199406 299109 320832 398812 598218 797624 897327 1196436 1595248 1794654 2392872 3190496 3589308 4785744 6380992 7178616 9571488 14357232 19142976 28714464 57428928