36928992 has 48 divisors (see below), whose sum is σ = 97327440. Its totient is φ = 12260352.

The previous prime is 36928979. The next prime is 36928999. The reversal of 36928992 is 29982963.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36928999) 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, 29434 + ... + 30662.

It is an arithmetic number, because the mean of its divisors is an integer number (2027655).

Almost surely, 2^36928992 is an apocalyptic number.

36928992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36928992 is an abundant number, since it is smaller than the sum of its proper divisors (60398448).

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

36928992 is a wasteful number, since it uses less digits than its factorization.

36928992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 36928992 is about 6076.9229055501. The cubic root of 36928992 is about 333.0088825197.

The spelling of 36928992 in words is "thirty-six million, nine hundred twenty-eight thousand, nine hundred ninety-two".