1828792320 has 192 divisors, whose sum is σ = 5955768000. Its totient is φ = 478937088.

The previous prime is 1828792309. The next prime is 1828792327. The reversal of 1828792320 is 232978281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1828792327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1811976 + ... + 1812984.

It is an arithmetic number, because the mean of its divisors is an integer number (31019625).

Almost surely, 2^1828792320 is an apocalyptic number.

1828792320 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 1828792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977884000).

1828792320 is an abundant number, since it is smaller than the sum of its proper divisors (4126975680).

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

1828792320 is a wasteful number, since it uses less digits than its factorization.

1828792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1828792320 is about 42764.3814406335. The cubic root of 1828792320 is about 1222.8920727537.

The spelling of 1828792320 in words is "one billion, eight hundred twenty-eight million, seven hundred ninety-two thousand, three hundred twenty".