1828390816 has 96 divisors (see below), whose sum is σ = 4253582592. Its totient is φ = 757278720.

The previous prime is 1828390807. The next prime is 1828390847. The reversal of 1828390816 is 6180938281.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383436 + ... + 1384756.

It is an arithmetic number, because the mean of its divisors is an integer number (44308152).

Almost surely, 2^1828390816 is an apocalyptic number.

1828390816 is a gapful number since it is divisible by the number (16) 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 1828390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126791296).

1828390816 is an abundant number, since it is smaller than the sum of its proper divisors (2425191776).

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

1828390816 is a wasteful number, since it uses less digits than its factorization.

1828390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1828390816 is about 42759.6868089559. The cubic root of 1828390816 is about 1222.8025725246.

The spelling of 1828390816 in words is "one billion, eight hundred twenty-eight million, three hundred ninety thousand, eight hundred sixteen".