37628020 has 12 divisors (see below), whose sum is σ = 79018884. Its totient is φ = 15051200.

The previous prime is 37627991. The next prime is 37628027. The reversal of 37628020 is 2082673.

It can be written as a sum of positive squares in 2 ways, for example, as 10316944 + 27311076 = 3212^2 + 5226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37628020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37628027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 940681 + ... + 940720.

It is an arithmetic number, because the mean of its divisors is an integer number (6584907).

Almost surely, 2^37628020 is an apocalyptic number.

It is an amenable number.

37628020 is an abundant number, since it is smaller than the sum of its proper divisors (41390864).

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

37628020 is a wasteful number, since it uses less digits than its factorization.

37628020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881410 (or 1881408 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 37628020 is about 6134.1682402751. The cubic root of 37628020 is about 335.0969348949.

The spelling of 37628020 in words is "thirty-seven million, six hundred twenty-eight thousand, twenty".