828361502812900 has 243 divisors, whose sum is σ = 2121253213872681. Its totient is φ = 279961169544000.

The previous prime is 828361502812849. The next prime is 828361502812903. The reversal of 828361502812900 is 9218205163828.

The square root of 828361502812900 is 28781270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 298210141012644 + 530151361800256 = 17268762^2 + 23025016^2 .

It is a super-2 number, since 2×828361502812900² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828361502812903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 143042909005 + ... + 143042914795.

Almost surely, 2^{828361502812900} is an apocalyptic number.

828361502812900 is the 28781270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828361502812900

828361502812900 is an abundant number, since it is smaller than the sum of its proper divisors (1292891711059781).

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

828361502812900 is an frugal number, since it uses more digits than its factorization.

828361502812900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11752 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 828361502812900 in words is "eight hundred twenty-eight trillion, three hundred sixty-one billion, five hundred two million, eight hundred twelve thousand, nine hundred".