45728900 has 36 divisors (see below), whose sum is σ = 113409408. Its totient is φ = 15678240.

The previous prime is 45728873. The next prime is 45728927. The reversal of 45728900 is 982754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45728873) and next prime (45728927).

It is a super-2 number, since 2×45728900² = 4182264590420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 11 ways as a sum of consecutive naturals, for example, 31964 + ... + 33363.

Almost surely, 2^45728900 is an apocalyptic number.

It is an amenable number.

45728900 is an abundant number, since it is smaller than the sum of its proper divisors (67680508).

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

45728900 is a wasteful number, since it uses less digits than its factorization.

45728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65348 (or 65341 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 45728900 is about 6762.3146924703. The cubic root of 45728900 is about 357.5995126172.

The spelling of 45728900 in words is "forty-five million, seven hundred twenty-eight thousand, nine hundred".