45928080 has 160 divisors (see below), whose sum is σ = 172667520. Its totient is φ = 11128320.

The previous prime is 45928061. The next prime is 45928087. The reversal of 45928080 is 8082954.

45928080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45928087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22794 + ... + 24726.

It is an arithmetic number, because the mean of its divisors is an integer number (1079172).

Almost surely, 2^45928080 is an apocalyptic number.

45928080 is a gapful number since it is divisible by the number (40) 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 45928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86333760).

45928080 is an abundant number, since it is smaller than the sum of its proper divisors (126739440).

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

45928080 is a wasteful number, since it uses less digits than its factorization.

45928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 45928080 is about 6777.0258963649. The cubic root of 45928080 is about 358.1179557837.

The spelling of 45928080 in words is "forty-five million, nine hundred twenty-eight thousand, eighty".