828000253 has 8 divisors (see below), whose sum is σ = 864796608. Its totient is φ = 791270304.

The previous prime is 828000241. The next prime is 828000307. The reversal of 828000253 is 352000828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828000253 - 2²⁹ = 291129341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828000203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9801 + ... + 41857.

It is an arithmetic number, because the mean of its divisors is an integer number (108099576).

Almost surely, 2^828000253 is an apocalyptic number.

It is an amenable number.

828000253 is a deficient number, since it is larger than the sum of its proper divisors (36796355).

828000253 is a wasteful number, since it uses less digits than its factorization.

828000253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33203.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 828000253 is about 28774.9935360549. The cubic root of 828000253 is about 939.0242829417.

The spelling of 828000253 in words is "eight hundred twenty-eight million, two hundred fifty-three", and thus it is an aban number.