828518400 has 468 divisors, whose sum is σ = 3168934080. Its totient is φ = 206438400.

The previous prime is 828518381. The next prime is 828518401. The reversal of 828518400 is 4815828.

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

It is not an unprimeable number, because it can be changed into a prime (828518401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26726385 + ... + 26726415.

Almost surely, 2^828518400 is an apocalyptic number.

828518400 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 828518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584467040).

828518400 is an abundant number, since it is smaller than the sum of its proper divisors (2340415680).

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

828518400 is a wasteful number, since it uses less digits than its factorization.

828518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 828518400 is about 28783.9955530847. The cubic root of 828518400 is about 939.2201166816.

The spelling of 828518400 in words is "eight hundred twenty-eight million, five hundred eighteen thousand, four hundred".