28832487258960 has 1280 divisors, whose sum is σ = 130929859952640. Its totient is φ = 5656449024000.

The previous prime is 28832487258959. The next prime is 28832487258997. The reversal of 28832487258960 is 6985278423882.

28832487258960 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 2 + 487 + 2 + 5 + 89 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211324524 + ... + 211460916.

It is an arithmetic number, because the mean of its divisors is an integer number (102288953088).

Almost surely, 2^{28832487258960} is an apocalyptic number.

28832487258960 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 28832487258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65464929976320).

28832487258960 is an abundant number, since it is smaller than the sum of its proper divisors (102097372693680).

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

28832487258960 is a wasteful number, since it uses less digits than its factorization.

28832487258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136505 (or 136493 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 28832487258960 in words is "twenty-eight trillion, eight hundred thirty-two billion, four hundred eighty-seven million, two hundred fifty-eight thousand, nine hundred sixty".