828498672 has 160 divisors (see below), whose sum is σ = 2586888000. Its totient is φ = 252813312.

The previous prime is 828498659. The next prime is 828498677. The reversal of 828498672 is 276894828.

828498672 is a `hidden beast` number, since 82 + 8 + 498 + 6 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828498677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270204 + ... + 273252.

It is an arithmetic number, because the mean of its divisors is an integer number (16168050).

Almost surely, 2^828498672 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 828498672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293444000).

828498672 is an abundant number, since it is smaller than the sum of its proper divisors (1758389328).

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

828498672 is a wasteful number, since it uses less digits than its factorization.

828498672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3108 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 828498672 is about 28783.6528606082. The cubic root of 828498672 is about 939.2126619763.

It can be divided in two parts, 828 and 498672, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 828498672 in words is "eight hundred twenty-eight million, four hundred ninety-eight thousand, six hundred seventy-two".