5627289600 has 504 divisors, whose sum is σ = 20916241632. Its totient is φ = 1445068800.

The previous prime is 5627289583. The next prime is 5627289653. The reversal of 5627289600 is 69827265.

5627289600 is a `hidden beast` number, since 562 + 7 + 2 + 89 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79257565 + ... + 79257635.

Almost surely, 2^5627289600 is an apocalyptic number.

5627289600 is a gapful number since it is divisible by the number (50) 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 5627289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458120816).

5627289600 is an abundant number, since it is smaller than the sum of its proper divisors (15288952032).

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

5627289600 is a wasteful number, since it uses less digits than its factorization.

5627289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5627289600 is about 75015.2624470514. The cubic root of 5627289600 is about 1778.6879191547.

The spelling of 5627289600 in words is "five billion, six hundred twenty-seven million, two hundred eighty-nine thousand, six hundred".