36528840 has 128 divisors (see below), whose sum is σ = 123120000. Its totient is φ = 9633024.

The previous prime is 36528809. The next prime is 36528851. The reversal of 36528840 is 4882563.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36528795 and 36528804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160807 + ... + 161033.

It is an arithmetic number, because the mean of its divisors is an integer number (961875).

Almost surely, 2^36528840 is an apocalyptic number.

36528840 is a gapful number since it is divisible by the number (30) 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 36528840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560000).

36528840 is an abundant number, since it is smaller than the sum of its proper divisors (86591160).

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

36528840 is a wasteful number, since it uses less digits than its factorization.

36528840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 36528840 is about 6043.9093308884. The cubic root of 36528840 is about 331.8017154410.

The spelling of 36528840 in words is "thirty-six million, five hundred twenty-eight thousand, eight hundred forty".