88632288 has 144 divisors (see below), whose sum is σ = 273729456. Its totient is φ = 27095040.

The previous prime is 88632281. The next prime is 88632289. The reversal of 88632288 is 88223688.

88632288 is a `hidden beast` number, since 8 + 8 + 632 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×88632288² = 15711364952229888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88632281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210318 + ... + 210738.

It is an arithmetic number, because the mean of its divisors is an integer number (1900899).

Almost surely, 2^88632288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88632288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136864728).

88632288 is an abundant number, since it is smaller than the sum of its proper divisors (185097168).

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

88632288 is a wasteful number, since it uses less digits than its factorization.

88632288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 88632288 is about 9414.4722634888. The cubic root of 88632288 is about 445.8587767663.

The spelling of 88632288 in words is "eighty-eight million, six hundred thirty-two thousand, two hundred eighty-eight".