828403200 has 600 divisors, whose sum is σ = 3315403872. Its totient is φ = 203489280.

The previous prime is 828403181. The next prime is 828403201. The reversal of 828403200 is 2304828.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828403201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17625577 + ... + 17625623.

Almost surely, 2^828403200 is an apocalyptic number.

828403200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657701936).

828403200 is an abundant number, since it is smaller than the sum of its proper divisors (2487000672).

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

828403200 is a wasteful number, since it uses less digits than its factorization.

828403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 828403200 is about 28781.9943714816. The cubic root of 828403200 is about 939.1765838836.

The spelling of 828403200 in words is "eight hundred twenty-eight million, four hundred three thousand, two hundred".