45028560 has 80 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 11951616.

The previous prime is 45028541. The next prime is 45028567. The reversal of 45028560 is 6582054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45028567) 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, 89269 + ... + 89771.

Almost surely, 2^45028560 is an apocalyptic number.

45028560 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 45028560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

45028560 is an abundant number, since it is smaller than the sum of its proper divisors (95212464).

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

45028560 is a wasteful number, since it uses less digits than its factorization.

45028560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45028560 is about 6710.3323315615. The cubic root of 45028560 is about 355.7645625894.

The spelling of 45028560 in words is "forty-five million, twenty-eight thousand, five hundred sixty".