45386628 has 48 divisors (see below), whose sum is σ = 121425024. Its totient is φ = 12925440.

The previous prime is 45386609. The next prime is 45386639. The reversal of 45386628 is 82668354.

45386628 is a nontrivial binomial coefficient, being equal to C(9528, 2).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 45386628.

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 15 ways as a sum of consecutive naturals, for example, 32668 + ... + 34028.

It is an arithmetic number, because the mean of its divisors is an integer number (2529688).

Almost surely, 2^45386628 is an apocalyptic number.

45386628 is the 9527-th triangular number and also the 4764-th hexagonal number.

It is an amenable number.

45386628 is an abundant number, since it is smaller than the sum of its proper divisors (76038396).

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

45386628 is a wasteful number, since it uses less digits than its factorization.

45386628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1770 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 45386628 is about 6736.9598484776. The cubic root of 45386628 is about 356.7050895612.

The spelling of 45386628 in words is "forty-five million, three hundred eighty-six thousand, six hundred twenty-eight".