828145800 has 72 divisors (see below), whose sum is σ = 2781195690. Its totient is φ = 220838400.

The previous prime is 828145793. The next prime is 828145807. The reversal of 828145800 is 8541828.

It is an interprime number because it is at equal distance from previous prime (828145793) and next prime (828145807).

It can be written as a sum of positive squares in 3 ways, for example, as 504361764 + 323784036 = 22458^2 + 17994^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (828145807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228241 + ... + 231840.

Almost surely, 2^828145800 is an apocalyptic number.

It is an amenable number.

828145800 is an abundant number, since it is smaller than the sum of its proper divisors (1953049890).

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

828145800 is a wasteful number, since it uses less digits than its factorization.

828145800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460103 (or 460091 counting only the distinct ones).

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

The square root of 828145800 is about 28777.5224784900. The cubic root of 828145800 is about 939.0793007026.

The spelling of 828145800 in words is "eight hundred twenty-eight million, one hundred forty-five thousand, eight hundred".