28088151720960 has 704 divisors, whose sum is σ = 97493822705664. Its totient is φ = 6874398720000.

The previous prime is 28088151720949. The next prime is 28088151721037. The reversal of 28088151720960 is 6902715188082.

It is a self number, because there is not a number n which added to its sum of digits gives 28088151720960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8432346495 + ... + 8432349825.

It is an arithmetic number, because the mean of its divisors is an integer number (138485543616).

Almost surely, 2^{28088151720960} is an apocalyptic number.

28088151720960 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 28088151720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746911352832).

28088151720960 is an abundant number, since it is smaller than the sum of its proper divisors (69405670984704).

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

28088151720960 is a wasteful number, since it uses less digits than its factorization.

28088151720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 28088151720960 in words is "twenty-eight trillion, eighty-eight billion, one hundred fifty-one million, seven hundred twenty thousand, nine hundred sixty".