511987728 has 160 divisors (see below), whose sum is σ = 1595897856. Its totient is φ = 138276864.

The previous prime is 511987717. The next prime is 511987747. The reversal of 511987728 is 827789115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749275 + ... + 749957.

Almost surely, 2^511987728 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 511987728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797948928).

511987728 is an abundant number, since it is smaller than the sum of its proper divisors (1083910128).

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

511987728 is a wasteful number, since it uses less digits than its factorization.

511987728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its digits is 282240, while the sum is 48.

The square root of 511987728 is about 22627.1458208940. The cubic root of 511987728 is about 799.9936082823.

The spelling of 511987728 in words is "five hundred eleven million, nine hundred eighty-seven thousand, seven hundred twenty-eight".