3972828 has 24 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1318000.

The previous prime is 3972817. The next prime is 3972833. The reversal of 3972828 is 8282793.

3972828 = T₃₇ + T₃₈ + ... + T₂₈₇.

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, 2353 + ... + 3671.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 2^3972828 is an apocalyptic number.

It is an amenable number.

3972828 is an abundant number, since it is smaller than the sum of its proper divisors (5341092).

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

3972828 is a wasteful number, since it uses less digits than its factorization.

3972828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1575 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3972828 is about 1993.1954244379. The cubic root of 3972828 is about 158.3798477066.

The spelling of 3972828 in words is "three million, nine hundred seventy-two thousand, eight hundred twenty-eight".