828374400 has 432 divisors, whose sum is σ = 3444271740. Its totient is φ = 189020160.

The previous prime is 828374387. The next prime is 828374401. The reversal of 828374400 is 4473828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828374401) 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 53 ways as a sum of consecutive naturals, for example, 1410907 + ... + 1411493.

Almost surely, 2^828374400 is an apocalyptic number.

828374400 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 828374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722135870).

828374400 is an abundant number, since it is smaller than the sum of its proper divisors (2615897340).

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

828374400 is a wasteful number, since it uses less digits than its factorization.

828374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 828374400 is about 28781.4940543398. The cubic root of 828374400 is about 939.1657000534.

The spelling of 828374400 in words is "eight hundred twenty-eight million, three hundred seventy-four thousand, four hundred".