828924096 has 448 divisors, whose sum is σ = 3113349120. Its totient is φ = 187453440.

The previous prime is 828924091. The next prime is 828924113. The reversal of 828924096 is 690429828.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (828924091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651535 + ... + 3651761.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^828924096 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 828924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

828924096 is an abundant number, since it is smaller than the sum of its proper divisors (2284425024).

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

828924096 is a wasteful number, since it uses less digits than its factorization.

828924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 828924096 is about 28791.0419401591. The cubic root of 828924096 is about 939.3733925645.

It can be divided in two parts, 8289 and 24096, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 828924096 in words is "eight hundred twenty-eight million, nine hundred twenty-four thousand, ninety-six".