36800728 has 16 divisors (see below), whose sum is σ = 69876000. Its totient is φ = 18167136.

The previous prime is 36800717. The next prime is 36800749. The reversal of 36800728 is 82700863.

It is a happy number.

It is a super-4 number, since 4×36800728⁴ (a number of 31 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36800693 and 36800702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28483 + ... + 29746.

It is an arithmetic number, because the mean of its divisors is an integer number (4367250).

Almost surely, 2^36800728 is an apocalyptic number.

It is an amenable number.

36800728 is a deficient number, since it is larger than the sum of its proper divisors (33075272).

36800728 is a wasteful number, since it uses less digits than its factorization.

36800728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58314 (or 58310 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 36800728 is about 6066.3603585676. The cubic root of 36800728 is about 332.6228931221.

The spelling of 36800728 in words is "thirty-six million, eight hundred thousand, seven hundred twenty-eight".