1828827700 has 144 divisors (see below), whose sum is σ = 4827441024. Its totient is φ = 587059200.

The previous prime is 1828827631. The next prime is 1828827709. The reversal of 1828827700 is 77288281.

It is a super-4 number, since 4×1828827700⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828827709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3724455 + ... + 3724945.

It is an arithmetic number, because the mean of its divisors is an integer number (33523896).

Almost surely, 2^1828827700 is an apocalyptic number.

1828827700 is a gapful number since it is divisible by the number (10) 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 1828827700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413720512).

1828827700 is an abundant number, since it is smaller than the sum of its proper divisors (2998613324).

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

1828827700 is a wasteful number, since it uses less digits than its factorization.

1828827700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 43.

The square root of 1828827700 is about 42764.7951006432. The cubic root of 1828827700 is about 1222.8999587672.

The spelling of 1828827700 in words is "one billion, eight hundred twenty-eight million, eight hundred twenty-seven thousand, seven hundred".