1828159200 has 576 divisors, whose sum is σ = 7694507520. Its totient is φ = 410296320.

The previous prime is 1828159199. The next prime is 1828159213. The reversal of 1828159200 is 29518281.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16178344 + ... + 16178456.

It is an arithmetic number, because the mean of its divisors is an integer number (13358520).

Almost surely, 2^1828159200 is an apocalyptic number.

1828159200 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 1828159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847253760).

1828159200 is an abundant number, since it is smaller than the sum of its proper divisors (5866348320).

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

1828159200 is a wasteful number, since it uses less digits than its factorization.

1828159200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1828159200 is about 42756.9783778040. The cubic root of 1828159200 is about 1222.7509364815.

It can be divided in two parts, 1828 and 159200, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 1828159200 in words is "one billion, eight hundred twenty-eight million, one hundred fifty-nine thousand, two hundred".