32928000 has 288 divisors, whose sum is σ = 127545600. Its totient is φ = 7526400.

The previous prime is 32927989. The next prime is 32928001. The reversal of 32928000 is 82923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (32928001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4703997 + ... + 4704003.

Almost surely, 2^32928000 is an apocalyptic number.

32928000 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 32928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63772800).

32928000 is an abundant number, since it is smaller than the sum of its proper divisors (94617600).

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

32928000 is an frugal number, since it uses more digits than its factorization.

32928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 32928000 is about 5738.2924289374. The cubic root of 32928000 is about 320.5199879149.

The spelling of 32928000 in words is "thirty-two million, nine hundred twenty-eight thousand".