28542952488960 has 1920 divisors, whose sum is σ = 126144876211200. Its totient is φ = 5962412851200.

The previous prime is 28542952488959. The next prime is 28542952488983. The reversal of 28542952488960 is 6988425924582.

28542952488960 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 2 + 9 + 52 + 488 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 127 ways as a sum of consecutive naturals, for example, 21939240310 + ... + 21939241610.

It is an arithmetic number, because the mean of its divisors is an integer number (65700456360).

Almost surely, 2^{28542952488960} is an apocalyptic number.

28542952488960 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 28542952488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63072438105600).

28542952488960 is an abundant number, since it is smaller than the sum of its proper divisors (97601923722240).

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

28542952488960 is a wasteful number, since it uses less digits than its factorization.

28542952488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 28542952488960 in words is "twenty-eight trillion, five hundred forty-two billion, nine hundred fifty-two million, four hundred eighty-eight thousand, nine hundred sixty".