505088628 has 96 divisors (see below), whose sum is σ = 1390179840. Its totient is φ = 141056640.

The previous prime is 505088599. The next prime is 505088629. The reversal of 505088628 is 826880505.

It is a super-2 number, since 2×505088628² = 510229044269844768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505088628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505088629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90075 + ... + 95517.

It is an arithmetic number, because the mean of its divisors is an integer number (14481040).

Almost surely, 2^505088628 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 505088628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695089920).

505088628 is an abundant number, since it is smaller than the sum of its proper divisors (885091212).

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

505088628 is a wasteful number, since it uses less digits than its factorization.

505088628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 505088628 is about 22474.1769148505. The cubic root of 505088628 is about 796.3840074560.

The spelling of 505088628 in words is "five hundred five million, eighty-eight thousand, six hundred twenty-eight".