36628992 has 60 divisors (see below), whose sum is σ = 105727050. Its totient is φ = 12208128.

The previous prime is 36628981. The next prime is 36629003. The reversal of 36628992 is 29982663.

36628992 is a `hidden beast` number, since 366 + 289 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36628981) and next prime (36629003).

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 5089536 = 5616^2 + 2256^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 634 + ... + 8582.

Almost surely, 2^36628992 is an apocalyptic number.

36628992 is a gapful number since it is divisible by the number (32) 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 36628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52863525).

36628992 is an abundant number, since it is smaller than the sum of its proper divisors (69098058).

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

36628992 is an equidigital number, since it uses as much as digits as its factorization.

36628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7954 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 36628992 is about 6052.1890254684. The cubic root of 36628992 is about 332.1046749825.

The spelling of 36628992 in words is "thirty-six million, six hundred twenty-eight thousand, nine hundred ninety-two".