32878944 has 144 divisors (see below), whose sum is σ = 109444608. Its totient is φ = 9167616.

The previous prime is 32878943. The next prime is 32878957. The reversal of 32878944 is 44987823.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32878944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32878943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94579 + ... + 94925.

It is an arithmetic number, because the mean of its divisors is an integer number (760032).

Almost surely, 2^32878944 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 32878944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54722304).

32878944 is an abundant number, since it is smaller than the sum of its proper divisors (76565664).

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

32878944 is a wasteful number, since it uses less digits than its factorization.

32878944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 32878944 is about 5734.0163934192. The cubic root of 32878944 is about 320.3607390160.

The spelling of 32878944 in words is "thirty-two million, eight hundred seventy-eight thousand, nine hundred forty-four".