88493328 has 240 divisors, whose sum is σ = 323122176. Its totient is φ = 21922560.

The previous prime is 88493309. The next prime is 88493341. The reversal of 88493328 is 82339488.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254851 + ... + 255197.

Almost surely, 2^88493328 is an apocalyptic number.

88493328 is a gapful number since it is divisible by the number (88) 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 88493328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161561088).

88493328 is an abundant number, since it is smaller than the sum of its proper divisors (234628848).

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

88493328 is a wasteful number, since it uses less digits than its factorization.

88493328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 88493328 is about 9407.0892416305. The cubic root of 88493328 is about 445.6256452358.

The spelling of 88493328 in words is "eighty-eight million, four hundred ninety-three thousand, three hundred twenty-eight".