262731328 has 56 divisors (see below), whose sum is σ = 557171352. Its totient is φ = 122486784.

The previous prime is 262731319. The next prime is 262731341. The reversal of 262731328 is 823137262.

262731328 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 261404224 = 1152^2 + 16168^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 262731293 and 262731302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121876 + ... + 124012.

Almost surely, 2^262731328 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 262731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278585676).

262731328 is an abundant number, since it is smaller than the sum of its proper divisors (294440024).

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

262731328 is a wasteful number, since it uses less digits than its factorization.

262731328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2269 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 262731328 is about 16208.9891109841. The cubic root of 262731328 is about 640.4776122341.

The spelling of 262731328 in words is "two hundred sixty-two million, seven hundred thirty-one thousand, three hundred twenty-eight".