88828800 has 192 divisors, whose sum is σ = 308611200. Its totient is φ = 22394880.

The previous prime is 88828771. The next prime is 88828811. The reversal of 88828800 is 882888.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182157 + ... + 182643.

It is an arithmetic number, because the mean of its divisors is an integer number (1607350).

Almost surely, 2^88828800 is an apocalyptic number.

88828800 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 88828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154305600).

88828800 is an abundant number, since it is smaller than the sum of its proper divisors (219782400).

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

88828800 is a wasteful number, since it uses less digits than its factorization.

88828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 88828800 is about 9424.9031825266. The cubic root of 88828800 is about 446.1880470139.

The spelling of 88828800 in words is "eighty-eight million, eight hundred twenty-eight thousand, eight hundred".