1826828160 has 256 divisors, whose sum is σ = 6239903040. Its totient is φ = 452984832.

The previous prime is 1826828149. The next prime is 1826828161. The reversal of 1826828160 is 618286281.

It is a super-2 number, since 2×1826828160² = 6674602252337971200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826828161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3165792 + ... + 3166368.

Almost surely, 2^1826828160 is an apocalyptic number.

1826828160 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 1826828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119951520).

1826828160 is an abundant number, since it is smaller than the sum of its proper divisors (4413074880).

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

1826828160 is a wasteful number, since it uses less digits than its factorization.

1826828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1826828160 is about 42741.4103651248. The cubic root of 1826828160 is about 1222.4541123035.

The spelling of 1826828160 in words is "one billion, eight hundred twenty-six million, eight hundred twenty-eight thousand, one hundred sixty".