88628064 has 144 divisors (see below), whose sum is σ = 275099328. Its totient is φ = 24907008.

The previous prime is 88628053. The next prime is 88628081. The reversal of 88628064 is 46082688.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 390319 + ... + 390545.

It is an arithmetic number, because the mean of its divisors is an integer number (1910412).

Almost surely, 2^88628064 is an apocalyptic number.

88628064 is a gapful number since it is divisible by the number (84) 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 88628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

88628064 is an abundant number, since it is smaller than the sum of its proper divisors (186471264).

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

88628064 is a wasteful number, since it uses less digits than its factorization.

88628064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 88628064 is about 9414.2479253523. The cubic root of 88628064 is about 445.8516938043.

The spelling of 88628064 in words is "eighty-eight million, six hundred twenty-eight thousand, sixty-four".