28957430687328 has 1920 divisors, whose sum is σ = 106592226048000. Its totient is φ = 7632548352000.

The previous prime is 28957430687281. The next prime is 28957430687329. The reversal of 28957430687328 is 82378603475982.

28957430687328 is a `hidden beast` number, since 2 + 8 + 95 + 7 + 430 + 6 + 87 + 3 + 28 = 666.

It is a super-2 number, since 2×28957430687328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28957430687329) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 145514726973 + ... + 145514727171.

It is an arithmetic number, because the mean of its divisors is an integer number (55516784400).

Almost surely, 2^{28957430687328} 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 28957430687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53296113024000).

28957430687328 is an abundant number, since it is smaller than the sum of its proper divisors (77634795360672).

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

28957430687328 is a wasteful number, since it uses less digits than its factorization.

28957430687328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 28957430687328 in words is "twenty-eight trillion, nine hundred fifty-seven billion, four hundred thirty million, six hundred eighty-seven thousand, three hundred twenty-eight".