88728514560 has 832 divisors, whose sum is σ = 366243855360. Its totient is φ = 20209139712.

The previous prime is 88728514541. The next prime is 88728514571. The reversal of 88728514560 is 6541582788.

88728514560 is a `hidden beast` number, since 8 + 8 + 7 + 28 + 51 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88728514497 and 88728514506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313528179 + ... + 313528461.

Almost surely, 2^88728514560 is an apocalyptic number.

88728514560 is a gapful number since it is divisible by the number (80) 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 88728514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183121927680).

88728514560 is an abundant number, since it is smaller than the sum of its proper divisors (277515340800).

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

88728514560 is an frugal number, since it uses more digits than its factorization.

88728514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 88728514560 in words is "eighty-eight billion, seven hundred twenty-eight million, five hundred fourteen thousand, five hundred sixty".