257516928 has 128 divisors (see below), whose sum is σ = 765612000. Its totient is φ = 85211136.

The previous prime is 257516921. The next prime is 257516933. The reversal of 257516928 is 829615752.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257516921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929526 + ... + 929802.

Almost surely, 2^257516928 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 257516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382806000).

257516928 is an abundant number, since it is smaller than the sum of its proper divisors (508095072).

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

257516928 is a wasteful number, since it uses less digits than its factorization.

257516928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 257516928 is about 16047.3339841857. Note that the first 3 decimals coincide. The cubic root of 257516928 is about 636.2121044071.

It can be divided in two parts, 2575 and 16928, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 257516928 in words is "two hundred fifty-seven million, five hundred sixteen thousand, nine hundred twenty-eight".