627833952 has 72 divisors (see below), whose sum is σ = 1812106296. Its totient is φ = 206148096.

The previous prime is 627833951. The next prime is 627833959. The reversal of 627833952 is 259338726.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 627833898 and 627833907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627833951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3028 + ... + 35564.

It is an arithmetic number, because the mean of its divisors is an integer number (25168143).

Almost surely, 2^627833952 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 627833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906053148).

627833952 is an abundant number, since it is smaller than the sum of its proper divisors (1184272344).

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

627833952 is a wasteful number, since it uses less digits than its factorization.

627833952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32620 (or 32609 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 627833952 is about 25056.6149349827. The cubic root of 627833952 is about 856.2782889974.

The spelling of 627833952 in words is "six hundred twenty-seven million, eight hundred thirty-three thousand, nine hundred fifty-two".