45253728 has 240 divisors, whose sum is σ = 153679680. Its totient is φ = 12939264.

The previous prime is 45253723. The next prime is 45253751. The reversal of 45253728 is 82735254.

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 = 45253692 and 45253701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45253723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572793 + ... + 572871.

It is an arithmetic number, because the mean of its divisors is an integer number (640332).

Almost surely, 2^45253728 is an apocalyptic number.

45253728 is a gapful number since it is divisible by the number (48) 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 45253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76839840).

45253728 is an abundant number, since it is smaller than the sum of its proper divisors (108425952).

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

45253728 is a wasteful number, since it uses less digits than its factorization.

45253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 45253728 is about 6727.0891178875. The cubic root of 45253728 is about 356.3565841751.

The spelling of 45253728 in words is "forty-five million, two hundred fifty-three thousand, seven hundred twenty-eight".