32984928 has 48 divisors (see below), whose sum is σ = 96208560. Its totient is φ = 10994688.

The previous prime is 32984911. The next prime is 32984993. The reversal of 32984928 is 82948923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18225 + ... + 19952.

It is an arithmetic number, because the mean of its divisors is an integer number (2004345).

Almost surely, 2^32984928 is an apocalyptic number.

It is an amenable number.

32984928 is an abundant number, since it is smaller than the sum of its proper divisors (63223632).

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

32984928 is a wasteful number, since it uses less digits than its factorization.

32984928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38196 (or 38182 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 32984928 is about 5743.2506474992. The cubic root of 32984928 is about 320.7045932831.

The spelling of 32984928 in words is "thirty-two million, nine hundred eighty-four thousand, nine hundred twenty-eight".