828645024 has 96 divisors (see below), whose sum is σ = 2305800000. Its totient is φ = 259835904.

The previous prime is 828645023. The next prime is 828645053. The reversal of 828645024 is 420546828.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (828645023) 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, 270252 + ... + 273300.

It is an arithmetic number, because the mean of its divisors is an integer number (24018750).

Almost surely, 2^828645024 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 828645024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152900000).

828645024 is an abundant number, since it is smaller than the sum of its proper divisors (1477154976).

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

828645024 is a wasteful number, since it uses less digits than its factorization.

828645024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 828645024 is about 28786.1950246989. The cubic root of 828645024 is about 939.2679618270.

The spelling of 828645024 in words is "eight hundred twenty-eight million, six hundred forty-five thousand, twenty-four".