828861300 has 54 divisors (see below), whose sum is σ = 2598022518. Its totient is φ = 221029440.

The previous prime is 828861287. The next prime is 828861311. The reversal of 828861300 is 3168828.

It can be written as a sum of positive squares in 3 ways, for example, as 1838736 + 827022564 = 1356^2 + 28758^2 .

It is a super-2 number, since 2×828861300² = 1374022109275380000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 459579 + ... + 461378.

Almost surely, 2^828861300 is an apocalyptic number.

It is an amenable number.

828861300 is an abundant number, since it is smaller than the sum of its proper divisors (1769161218).

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

828861300 is a wasteful number, since it uses less digits than its factorization.

828861300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920977 (or 920967 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 828861300 is about 28789.9513719631. The cubic root of 828861300 is about 939.3496708987.

The spelling of 828861300 in words is "eight hundred twenty-eight million, eight hundred sixty-one thousand, three hundred".