45653328 has 160 divisors (see below), whose sum is σ = 154910720. Its totient is φ = 12597120.

The previous prime is 45653327. The next prime is 45653329. The reversal of 45653328 is 82335654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45653327) and next prime (45653329).

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 = 45653292 and 45653301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45653323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93501 + ... + 93987.

It is an arithmetic number, because the mean of its divisors is an integer number (968192).

Almost surely, 2^45653328 is an apocalyptic number.

45653328 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 45653328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77455360).

45653328 is an abundant number, since it is smaller than the sum of its proper divisors (109257392).

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

45653328 is a wasteful number, since it uses less digits than its factorization.

45653328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45653328 is about 6756.7246503021. The cubic root of 45653328 is about 357.4024132553.

The spelling of 45653328 in words is "forty-five million, six hundred fifty-three thousand, three hundred twenty-eight".