36628480 has 144 divisors (see below), whose sum is σ = 103636260. Its totient is φ = 12386304.

The previous prime is 36628433. The next prime is 36628499. The reversal of 36628480 is 8482663.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 50176 = 6048^2 + 224^2 .

It is a super-2 number, since 2×36628480² = 2683291094220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501724 + ... + 501796.

Almost surely, 2^36628480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51818130).

36628480 is an abundant number, since it is smaller than the sum of its proper divisors (67007780).

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

36628480 is an equidigital number, since it uses as much as digits as its factorization.

36628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 36628480 is about 6052.1467265756. The cubic root of 36628480 is about 332.1031275891.

The spelling of 36628480 in words is "thirty-six million, six hundred twenty-eight thousand, four hundred eighty".