5624428958820 has 864 divisors, whose sum is σ = 21813772780800. Its totient is φ = 1178358865920.

The previous prime is 5624428958783. The next prime is 5624428958821. The reversal of 5624428958820 is 288598244265.

5624428958820 is a `hidden beast` number, since 5 + 6 + 2 + 4 + 4 + 28 + 9 + 588 + 20 = 666.

It is a super-2 number, since 2×5624428958820² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5624428958821) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1311359236 + ... + 1311363524.

It is an arithmetic number, because the mean of its divisors is an integer number (25247422200).

Almost surely, 2^{5624428958820} 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 5624428958820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906886390400).

5624428958820 is an abundant number, since it is smaller than the sum of its proper divisors (16189343821980).

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

5624428958820 is a wasteful number, since it uses less digits than its factorization.

5624428958820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 5624428958820 in words is "five trillion, six hundred twenty-four billion, four hundred twenty-eight million, nine hundred fifty-eight thousand, eight hundred twenty".