3932928 has 72 divisors (see below), whose sum is σ = 11650800. Its totient is φ = 1308672.

The previous prime is 3932927. The next prime is 3932941. The reversal of 3932928 is 8292393.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3932892 and 3932901.

It is not an unprimeable number, because it can be changed into a prime (3932921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6628 + ... + 7196.

Almost surely, 2^3932928 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 3932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825400).

3932928 is an abundant number, since it is smaller than the sum of its proper divisors (7717872).

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

3932928 is an equidigital number, since it uses as much as digits as its factorization.

3932928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 574 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3932928 is about 1983.1611129709. The cubic root of 3932928 is about 157.8478479719.

It can be divided in two parts, 393 and 2928, that added together give a triangular number (3321 = T₈₁).

The spelling of 3932928 in words is "three million, nine hundred thirty-two thousand, nine hundred twenty-eight".