15728281920 has 336 divisors, whose sum is σ = 60421845120. Its totient is φ = 3871328256.

The previous prime is 15728281903. The next prime is 15728281927. The reversal of 15728281920 is 2918282751.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15728281927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003101 + ... + 1018659.

It is an arithmetic number, because the mean of its divisors is an integer number (179826920).

Almost surely, 2^15728281920 is an apocalyptic number.

15728281920 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 15728281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30210922560).

15728281920 is an abundant number, since it is smaller than the sum of its proper divisors (44693563200).

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

15728281920 is a wasteful number, since it uses less digits than its factorization.

15728281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 15728281920 in words is "fifteen billion, seven hundred twenty-eight million, two hundred eighty-one thousand, nine hundred twenty".