1815728460 has 192 divisors, whose sum is σ = 6410686464. Its totient is φ = 373708800.

The previous prime is 1815728459. The next prime is 1815728479. The reversal of 1815728460 is 648275181.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219805 + ... + 227915.

It is an arithmetic number, because the mean of its divisors is an integer number (33388992).

Almost surely, 2^1815728460 is an apocalyptic number.

1815728460 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 1815728460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205343232).

1815728460 is an abundant number, since it is smaller than the sum of its proper divisors (4594958004).

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

1815728460 is a wasteful number, since it uses less digits than its factorization.

1815728460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8182 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1815728460 is about 42611.3653853054. The cubic root of 1815728460 is about 1219.9732279353.

The spelling of 1815728460 in words is "one billion, eight hundred fifteen million, seven hundred twenty-eight thousand, four hundred sixty".