253787328 has 168 divisors, whose sum is σ = 766486656. Its totient is φ = 80179200.

The previous prime is 253787321. The next prime is 253787341. The reversal of 253787328 is 823787352.

253787328 is a `hidden beast` number, since 2 + 537 + 87 + 32 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (253787321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089100 + ... + 1089332.

Almost surely, 2^253787328 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 253787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383243328).

253787328 is an abundant number, since it is smaller than the sum of its proper divisors (512699328).

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

253787328 is a wasteful number, since it uses less digits than its factorization.

253787328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 253787328 is about 15930.7039392489. The cubic root of 253787328 is about 633.1257508680.

The spelling of 253787328 in words is "two hundred fifty-three million, seven hundred eighty-seven thousand, three hundred twenty-eight".