36964728 has 64 divisors (see below), whose sum is σ = 108096000. Its totient is φ = 11671776.

The previous prime is 36964723. The next prime is 36964757. The reversal of 36964728 is 82746963.

It is a super-2 number, since 2×36964728² = 2732782232227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36964723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (1689000).

Almost surely, 2^36964728 is an apocalyptic number.

36964728 is a gapful number since it is divisible by the number (38) 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 36964728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54048000).

36964728 is an abundant number, since it is smaller than the sum of its proper divisors (71131272).

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

36964728 is a wasteful number, since it uses less digits than its factorization.

36964728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9031 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 36964728 is about 6079.8624984452. The cubic root of 36964728 is about 333.1162648968.

The spelling of 36964728 in words is "thirty-six million, nine hundred sixty-four thousand, seven hundred twenty-eight".