28543890652992 has 1344 divisors, whose sum is σ = 105834411648000. Its totient is φ = 7471822786560.

The previous prime is 28543890652987. The next prime is 28543890652999. The reversal of 28543890652992 is 29925609834582.

28543890652992 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 3 + 8 + 9 + 0 + 6 + 529 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28543890652992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28543890652999) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4286509759 + ... + 4286516417.

It is an arithmetic number, because the mean of its divisors is an integer number (78745842000).

Almost surely, 2^{28543890652992} is an apocalyptic number.

28543890652992 is a gapful number since it is divisible by the number (22) 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 28543890652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52917205824000).

28543890652992 is an abundant number, since it is smaller than the sum of its proper divisors (77290520995008).

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

28543890652992 is a wasteful number, since it uses less digits than its factorization.

28543890652992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 28543890652992 in words is "twenty-eight trillion, five hundred forty-three billion, eight hundred ninety million, six hundred fifty-two thousand, nine hundred ninety-two".