828388400 has 60 divisors (see below), whose sum is σ = 2274525552. Its totient is φ = 284017920.

The previous prime is 828388399. The next prime is 828388409. The reversal of 828388400 is 4883828.

It is not an unprimeable number, because it can be changed into a prime (828388409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145127 + ... + 150726.

Almost surely, 2^828388400 is an apocalyptic number.

828388400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828388400 is an abundant number, since it is smaller than the sum of its proper divisors (1446137152).

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

828388400 is a wasteful number, since it uses less digits than its factorization.

828388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295878 (or 295867 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 828388400 is about 28781.7372651478. The cubic root of 828388400 is about 939.1709908357.

The spelling of 828388400 in words is "eight hundred twenty-eight million, three hundred eighty-eight thousand, four hundred".