4522128624 has 240 divisors, whose sum is σ = 14351081472. Its totient is φ = 1318851072.

The previous prime is 4522128613. The next prime is 4522128629. The reversal of 4522128624 is 4268212254.

4522128624 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 1 + 28 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4522128629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5467699 + ... + 5468525.

Almost surely, 2^4522128624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4522128624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175540736).

4522128624 is an abundant number, since it is smaller than the sum of its proper divisors (9828952848).

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

4522128624 is a wasteful number, since it uses less digits than its factorization.

4522128624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 4522128624 is about 67246.7740787616. The cubic root of 4522128624 is about 1653.6653897885.

The spelling of 4522128624 in words is "four billion, five hundred twenty-two million, one hundred twenty-eight thousand, six hundred twenty-four".