28972581120 has 1152 divisors, whose sum is σ = 126588026880. Its totient is φ = 6131220480.

The previous prime is 28972581119. The next prime is 28972581149. The reversal of 28972581120 is 2118527982.

28972581120 is a `hidden beast` number, since 289 + 7 + 258 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228130497 + ... + 228130623.

It is an arithmetic number, because the mean of its divisors is an integer number (109885440).

Almost surely, 2^28972581120 is an apocalyptic number.

28972581120 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 28972581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63294013440).

28972581120 is an abundant number, since it is smaller than the sum of its proper divisors (97615445760).

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

28972581120 is a wasteful number, since it uses less digits than its factorization.

28972581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 28972581120 in words is "twenty-eight billion, nine hundred seventy-two million, five hundred eighty-one thousand, one hundred twenty".