513698928 has 160 divisors (see below), whose sum is σ = 1486190592. Its totient is φ = 152064000.

The previous prime is 513698917. The next prime is 513698929. The reversal of 513698928 is 829896315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513698929) 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, 1895433 + ... + 1895703.

Almost surely, 2^513698928 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 513698928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743095296).

513698928 is an abundant number, since it is smaller than the sum of its proper divisors (972491664).

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

513698928 is a wasteful number, since it uses less digits than its factorization.

513698928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 513698928 is about 22664.9272665941. The cubic root of 513698928 is about 800.8838814157.

The spelling of 513698928 in words is "five hundred thirteen million, six hundred ninety-eight thousand, nine hundred twenty-eight".