36967728 has 40 divisors (see below), whose sum is σ = 109143808. Its totient is φ = 10562112.

The previous prime is 36967703. The next prime is 36967729. The reversal of 36967728 is 82776963.

It is a super-2 number, since 2×36967728² = 2733225826963968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (36967729) 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, 54676 + ... + 55347.

Almost surely, 2^36967728 is an apocalyptic number.

It is an amenable number.

36967728 is an abundant number, since it is smaller than the sum of its proper divisors (72176080).

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

36967728 is a wasteful number, since it uses less digits than its factorization.

36967728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110041 (or 110035 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 36967728 is about 6080.1092095455. The cubic root of 36967728 is about 333.1252763862.

It can be divided in two parts, 3 and 6967728, that multiplied together give a square (20903184 = 4572²).

The spelling of 36967728 in words is "thirty-six million, nine hundred sixty-seven thousand, seven hundred twenty-eight".