45128832 has 128 divisors (see below), whose sum is σ = 139176960. Its totient is φ = 12690432.

The previous prime is 45128827. The next prime is 45128833. The reversal of 45128832 is 23882154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45128832² = 4073222955368448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45128793 and 45128802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45128833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276783 + ... + 276945.

It is an arithmetic number, because the mean of its divisors is an integer number (1087320).

Almost surely, 2^45128832 is an apocalyptic number.

45128832 is a gapful number since it is divisible by the number (42) 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 45128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69588480).

45128832 is an abundant number, since it is smaller than the sum of its proper divisors (94048128).

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

45128832 is a wasteful number, since it uses less digits than its factorization.

45128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 45128832 is about 6717.7996397630. The cubic root of 45128832 is about 356.0284453137.

The spelling of 45128832 in words is "forty-five million, one hundred twenty-eight thousand, eight hundred thirty-two".