828428093400 has 192 divisors, whose sum is σ = 2704775990400. Its totient is φ = 209172188160.

The previous prime is 828428093393. The next prime is 828428093401. The reversal of 828428093400 is 4390824828.

It is a self number, because there is not a number n which added to its sum of digits gives 828428093400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828428093401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21789207 + ... + 21827193.

It is an arithmetic number, because the mean of its divisors is an integer number (14087374950).

Almost surely, 2^828428093400 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 828428093400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352387995200).

828428093400 is an abundant number, since it is smaller than the sum of its proper divisors (1876347897000).

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

828428093400 is a wasteful number, since it uses less digits than its factorization.

828428093400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39938 (or 39929 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 828428093400 in words is "eight hundred twenty-eight billion, four hundred twenty-eight million, ninety-three thousand, four hundred".