28531145658960 has 400 divisors, whose sum is σ = 113359053341952. Its totient is φ = 6515068723200.

The previous prime is 28531145658881. The next prime is 28531145658989. The reversal of 28531145658960 is 6985654113582.

28531145658960 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 1 + 1 + 4 + 565 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×28531145658960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46461120 + ... + 47071200.

Almost surely, 2^{28531145658960} is an apocalyptic number.

28531145658960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28531145658960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56679526670976).

28531145658960 is an abundant number, since it is smaller than the sum of its proper divisors (84827907682992).

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

28531145658960 is a wasteful number, since it uses less digits than its factorization.

28531145658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611144 (or 611129 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 28531145658960 in words is "twenty-eight trillion, five hundred thirty-one billion, one hundred forty-five million, six hundred fifty-eight thousand, nine hundred sixty".