828141600 has 576 divisors, whose sum is σ = 3359784960. Its totient is φ = 174182400.

The previous prime is 828141593. The next prime is 828141623. The reversal of 828141600 is 6141828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6520737 + ... + 6520863.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2^828141600 is an apocalyptic number.

828141600 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 828141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

828141600 is an abundant number, since it is smaller than the sum of its proper divisors (2531643360).

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

828141600 is a wasteful number, since it uses less digits than its factorization.

828141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 828141600 is about 28777.4495047772. The cubic root of 828141600 is about 939.0777131643.

The spelling of 828141600 in words is "eight hundred twenty-eight million, one hundred forty-one thousand, six hundred".