828939096 has 72 divisors (see below), whose sum is σ = 2331763980. Its totient is φ = 275889888.

The previous prime is 828939073. The next prime is 828939109. The reversal of 828939096 is 690939828.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1269106 + ... + 1269758.

Almost surely, 2^828939096 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 828939096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165881990).

828939096 is an abundant number, since it is smaller than the sum of its proper divisors (1502824884).

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

828939096 is an frugal number, since it uses more digits than its factorization.

828939096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 828939096 is about 28791.3024366735. The cubic root of 828939096 is about 939.3790587512.

Multiplying 828939096 by its sum of digits (54), we get a square (44762711184 = 211572²).

828939096 divided by its sum of digits (54) gives a square (15350724 = 3918²).

The spelling of 828939096 in words is "eight hundred twenty-eight million, nine hundred thirty-nine thousand, ninety-six".