45361728 has 56 divisors (see below), whose sum is σ = 133360160. Its totient is φ = 15120000.

The previous prime is 45361699. The next prime is 45361753. The reversal of 45361728 is 82716354.

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 = 45361692 and 45361701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11398 + ... + 14853.

Almost surely, 2^45361728 is an apocalyptic number.

45361728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45361728 is an abundant number, since it is smaller than the sum of its proper divisors (87998432).

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

45361728 is a wasteful number, since it uses less digits than its factorization.

45361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26272 (or 26256 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45361728 is about 6735.1115803675. Note that the first 3 decimals coincide. The cubic root of 45361728 is about 356.6398458107.

The spelling of 45361728 in words is "forty-five million, three hundred sixty-one thousand, seven hundred twenty-eight".