37028 has 6 divisors (see below), whose sum is σ = 64806. Its totient is φ = 18512.

The previous prime is 37021. The next prime is 37039. The reversal of 37028 is 82073.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 13924 = 152^2 + 118^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37028.

It is not an unprimeable number, because it can be changed into a prime (37021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4625 + ... + 4632.

It is an arithmetic number, because the mean of its divisors is an integer number (10801).

2³⁷⁰²⁸ is an apocalyptic number.

It is an amenable number.

37028 is a deficient number, since it is larger than the sum of its proper divisors (27778).

37028 is a wasteful number, since it uses less digits than its factorization.

37028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261 (or 9259 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 37028 is about 192.4266093865. The cubic root of 37028 is about 33.3306220017.

The spelling of 37028 in words is "thirty-seven thousand, twenty-eight".