510828864 has 224 divisors, whose sum is σ = 1682983680. Its totient is φ = 133945344.

The previous prime is 510828841. The next prime is 510828887. The reversal of 510828864 is 468828015.

It is an interprime number because it is at equal distance from previous prime (510828841) and next prime (510828887).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×510828864² = 521892256591060992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 2952682 + ... + 2952854.

It is an arithmetic number, because the mean of its divisors is an integer number (7513320).

Almost surely, 2^510828864 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 510828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841491840).

510828864 is an abundant number, since it is smaller than the sum of its proper divisors (1172154816).

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

510828864 is a wasteful number, since it uses less digits than its factorization.

510828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 510828864 is about 22601.5234884731. The cubic root of 510828864 is about 799.3895676673.

The spelling of 510828864 in words is "five hundred ten million, eight hundred twenty-eight thousand, eight hundred sixty-four".