32978988 has 144 divisors (see below), whose sum is σ = 102246144. Its totient is φ = 9097920.

The previous prime is 32978983. The next prime is 32978989. The reversal of 32978988 is 88987923.

It is a super-2 number, since 2×32978988² = 2175227299008288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32978983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251683 + ... + 251813.

Almost surely, 2^32978988 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 32978988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51123072).

32978988 is an abundant number, since it is smaller than the sum of its proper divisors (69267156).

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

32978988 is a wasteful number, since it uses less digits than its factorization.

32978988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 32978988 is about 5742.7334954706. The cubic root of 32978988 is about 320.6853410593.

The spelling of 32978988 in words is "thirty-two million, nine hundred seventy-eight thousand, nine hundred eighty-eight".