88928640 has 96 divisors (see below), whose sum is σ = 307101600. Its totient is φ = 23712768.

The previous prime is 88928617. The next prime is 88928657. The reversal of 88928640 is 4682988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1960 + ... + 13479.

It is an arithmetic number, because the mean of its divisors is an integer number (3198975).

Almost surely, 2^88928640 is an apocalyptic number.

88928640 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 88928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153550800).

88928640 is an abundant number, since it is smaller than the sum of its proper divisors (218172960).

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

88928640 is a wasteful number, since it uses less digits than its factorization.

88928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 88928640 is about 9430.1983012024. The cubic root of 88928640 is about 446.3551502326.

The spelling of 88928640 in words is "eighty-eight million, nine hundred twenty-eight thousand, six hundred forty".