5201642628 has 216 divisors, whose sum is σ = 16630974360. Its totient is φ = 1358622720.

The previous prime is 5201642627. The next prime is 5201642689. The reversal of 5201642628 is 8262461025.

It is a happy number.

5201642628 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 642 + 6 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 287913024 + 4913729604 = 16968^2 + 70098^2 .

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 = 5201642592 and 5201642601.

It is not an unprimeable number, because it can be changed into a prime (5201642627) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2498548 + ... + 2500628.

Almost surely, 2^5201642628 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 5201642628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315487180).

5201642628 is an abundant number, since it is smaller than the sum of its proper divisors (11429331732).

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

5201642628 is a wasteful number, since it uses less digits than its factorization.

5201642628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5201642628 is about 72122.4141858826. The cubic root of 5201642628 is about 1732.6606156572.

The spelling of 5201642628 in words is "five billion, two hundred one million, six hundred forty-two thousand, six hundred twenty-eight".