509628000 has 192 divisors, whose sum is σ = 1908361728. Its totient is φ = 116467200.

The previous prime is 509627983. The next prime is 509628001. The reversal of 509628000 is 826905.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509628001) 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, 80967 + ... + 87033.

It is an arithmetic number, because the mean of its divisors is an integer number (9939384).

Almost surely, 2^509628000 is an apocalyptic number.

509628000 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 509628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954180864).

509628000 is an abundant number, since it is smaller than the sum of its proper divisors (1398733728).

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

509628000 is a wasteful number, since it uses less digits than its factorization.

509628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 509628000 is about 22574.9418603902. The cubic root of 509628000 is about 798.7626705899.

The spelling of 509628000 in words is "five hundred nine million, six hundred twenty-eight thousand".