828182400 has 96 divisors (see below), whose sum is σ = 2727857400. Its totient is φ = 220846080.

The previous prime is 828182371. The next prime is 828182419. The reversal of 828182400 is 4281828.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33535 + ... + 52734.

Almost surely, 2^828182400 is an apocalyptic number.

828182400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828182400 is an abundant number, since it is smaller than the sum of its proper divisors (1899675000).

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

828182400 is a wasteful number, since it uses less digits than its factorization.

828182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86296 (or 86279 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 828182400 is about 28778.1583844415. The cubic root of 828182400 is about 939.0931347385.

The spelling of 828182400 in words is "eight hundred twenty-eight million, one hundred eighty-two thousand, four hundred".