828475392 has 192 divisors, whose sum is σ = 2390169600. Its totient is φ = 254361600.

The previous prime is 828475363. The next prime is 828475421. The reversal of 828475392 is 293574828.

It is an interprime number because it is at equal distance from previous prime (828475363) and next prime (828475421).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5486517 + ... + 5486667.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2^828475392 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 828475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195084800).

828475392 is an abundant number, since it is smaller than the sum of its proper divisors (1561694208).

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

828475392 is a wasteful number, since it uses less digits than its factorization.

828475392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 828475392 is about 28783.2484615618. The cubic root of 828475392 is about 939.2038649091.

The spelling of 828475392 in words is "eight hundred twenty-eight million, four hundred seventy-five thousand, three hundred ninety-two".