5627952 has 180 divisors, whose sum is σ = 19295640. Its totient is φ = 1520640.

The previous prime is 5627917. The next prime is 5627977. The reversal of 5627952 is 2597265.

5627952 is a `hidden beast` number, since 562 + 7 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (37800) is a multiple of the sum of its prime factors (72).

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, 296199 + ... + 296217.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

Almost surely, 2^5627952 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 5627952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820).

5627952 is an abundant number, since it is smaller than the sum of its proper divisors (13667688).

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

5627952 is a wasteful number, since it uses less digits than its factorization.

5627952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5627952 is about 2372.3304997407. The cubic root of 5627952 is about 177.8757707438.

The spelling of 5627952 in words is "five million, six hundred twenty-seven thousand, nine hundred fifty-two".