32978880 has 224 divisors, whose sum is σ = 127284480. Its totient is φ = 7971840.

The previous prime is 32978867. The next prime is 32978903. The reversal of 32978880 is 8887923.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94867 + ... + 95213.

Almost surely, 2^32978880 is an apocalyptic number.

32978880 is a gapful number since it is divisible by the number (30) 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 32978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63642240).

32978880 is an abundant number, since it is smaller than the sum of its proper divisors (94305600).

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

32978880 is a wasteful number, since it uses less digits than its factorization.

32978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 32978880 is about 5742.7240922754. The cubic root of 32978880 is about 320.6849909975.

The spelling of 32978880 in words is "thirty-two million, nine hundred seventy-eight thousand, eight hundred eighty".