828953496 has 96 divisors (see below), whose sum is σ = 2614304160. Its totient is φ = 232367616.

The previous prime is 828953491. The next prime is 828953497. The reversal of 828953496 is 694359828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828953491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11196 + ... + 42228.

It is an arithmetic number, because the mean of its divisors is an integer number (27232335).

Almost surely, 2^828953496 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 828953496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307152080).

828953496 is an abundant number, since it is smaller than the sum of its proper divisors (1785350664).

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

828953496 is a wasteful number, since it uses less digits than its factorization.

828953496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31105 (or 31098 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 828953496 is about 28791.5525111099. The cubic root of 828953496 is about 939.3844982260.

The spelling of 828953496 in words is "eight hundred twenty-eight million, nine hundred fifty-three thousand, four hundred ninety-six".