3928032 has 72 divisors (see below), whose sum is σ = 11675664. Its totient is φ = 1250304.

The previous prime is 3928027. The next prime is 3928039. The reversal of 3928032 is 2308293.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3927987 and 3928005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6328 + ... + 6920.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

Almost surely, 2^3928032 is an apocalyptic number.

3928032 is a gapful number since it is divisible by the number (32) 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 3928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837832).

3928032 is an abundant number, since it is smaller than the sum of its proper divisors (7747632).

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

3928032 is a wasteful number, since it uses less digits than its factorization.

3928032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3928032 is about 1981.9263356644. The cubic root of 3928032 is about 157.7823205434.

The spelling of 3928032 in words is "three million, nine hundred twenty-eight thousand, thirty-two".