252047628 has 72 divisors (see below), whose sum is σ = 731098368. Its totient is φ = 71720928.

The previous prime is 252047617. The next prime is 252047687. The reversal of 252047628 is 826740252.

252047628 is a `hidden beast` number, since 2 + 5 + 20 + 4 + 7 + 628 = 666.

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

252047628 is a modest number, since divided by 47628 gives 252 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 252047592 and 252047601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64375 + ... + 68177.

It is an arithmetic number, because the mean of its divisors is an integer number (10154144).

Almost surely, 2^252047628 is an apocalyptic number.

252047628 is a gapful number since it is divisible by the number (28) 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 252047628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365549184).

252047628 is an abundant number, since it is smaller than the sum of its proper divisors (479050740).

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

252047628 is a wasteful number, since it uses less digits than its factorization.

252047628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252047628 is about 15876.0079365060. The cubic root of 252047628 is about 631.6757503244.

The spelling of 252047628 in words is "two hundred fifty-two million, forty-seven thousand, six hundred twenty-eight".