511328 has 36 divisors (see below), whose sum is σ = 1097460. Its totient is φ = 233856.

The previous prime is 511327. The next prime is 511333. The reversal of 511328 is 823115.

It is a super-2 number, since 2×511328² = 522912647168, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17618 + ... + 17646.

It is an arithmetic number, because the mean of its divisors is an integer number (30485).

2⁵¹¹³²⁸ is an apocalyptic number.

511328 is a gapful number since it is divisible by the number (58) 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 511328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548730).

511328 is an abundant number, since it is smaller than the sum of its proper divisors (586132).

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

511328 is a wasteful number, since it uses less digits than its factorization.

511328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 511328 is about 715.0720243444. The cubic root of 511328 is about 79.9649846763.

The spelling of 511328 in words is "five hundred eleven thousand, three hundred twenty-eight".