28951039872000 has 2112 divisors, whose sum is σ = 115676867404800. Its totient is φ = 7127543808000.

The previous prime is 28951039871993. The next prime is 28951039872017. The reversal of 28951039872000 is 27893015982.

28951039872000 is a `hidden beast` number, since 28 + 9 + 510 + 3 + 9 + 87 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76387967811 + ... + 76387968189.

Almost surely, 2^{28951039872000} is an apocalyptic number.

28951039872000 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 28951039872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57838433702400).

28951039872000 is an abundant number, since it is smaller than the sum of its proper divisors (86725827532800).

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

28951039872000 is a wasteful number, since it uses less digits than its factorization.

28951039872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 28951039872000 in words is "twenty-eight trillion, nine hundred fifty-one billion, thirty-nine million, eight hundred seventy-two thousand".