828133600 has 72 divisors (see below), whose sum is σ = 2310508368. Its totient is φ = 283929600.

The previous prime is 828133591. The next prime is 828133609. The reversal of 828133600 is 6331828.

It is an interprime number because it is at equal distance from previous prime (828133591) and next prime (828133609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828133609) 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, 68341 + ... + 79540.

It is an arithmetic number, because the mean of its divisors is an integer number (32090394).

Almost surely, 2^828133600 is an apocalyptic number.

828133600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828133600 is an abundant number, since it is smaller than the sum of its proper divisors (1482374768).

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

828133600 is a wasteful number, since it uses less digits than its factorization.

828133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147908 (or 147895 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 828133600 is about 28777.3105067169. The cubic root of 828133600 is about 939.0746892668.

The spelling of 828133600 in words is "eight hundred twenty-eight million, one hundred thirty-three thousand, six hundred".