253871028 has 72 divisors (see below), whose sum is σ = 668828160. Its totient is φ = 81103680.

The previous prime is 253870963. The next prime is 253871039. The reversal of 253871028 is 820178352.

253871028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253870983 and 253871001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120601 + ... + 122687.

It is an arithmetic number, because the mean of its divisors is an integer number (9289280).

Almost surely, 2^253871028 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 253871028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334414080).

253871028 is an abundant number, since it is smaller than the sum of its proper divisors (414957132).

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

253871028 is a wasteful number, since it uses less digits than its factorization.

253871028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 253871028 is about 15933.3307252439. The cubic root of 253871028 is about 633.1953456229.

The spelling of 253871028 in words is "two hundred fifty-three million, eight hundred seventy-one thousand, twenty-eight".