253035328 has 112 divisors (see below), whose sum is σ = 645200640. Its totient is φ = 95698944.

The previous prime is 253035323. The next prime is 253035329. The reversal of 253035328 is 823530352.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 253035328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253035323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133008 + ... + 134896.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2^253035328 is an apocalyptic number.

253035328 is a gapful number since it is divisible by the number (28) 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 253035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

253035328 is an abundant number, since it is smaller than the sum of its proper divisors (392165312).

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

253035328 is a wasteful number, since it uses less digits than its factorization.

253035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 253035328 is about 15907.0842079873. The cubic root of 253035328 is about 632.4997915917.

The spelling of 253035328 in words is "two hundred fifty-three million, thirty-five thousand, three hundred twenty-eight".