15428128320 has 672 divisors, whose sum is σ = 63626000256. Its totient is φ = 3516825600.

The previous prime is 15428128297. The next prime is 15428128327. The reversal of 15428128320 is 2382182451.

It is a happy number.

15428128320 is a `hidden beast` number, since 1 + 54 + 281 + 2 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15428128327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14540590 + ... + 14541650.

It is an arithmetic number, because the mean of its divisors is an integer number (94681548).

Almost surely, 2^15428128320 is an apocalyptic number.

15428128320 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 15428128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813000128).

15428128320 is an abundant number, since it is smaller than the sum of its proper divisors (48197871936).

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

15428128320 is a wasteful number, since it uses less digits than its factorization.

15428128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 15428128320 in words is "fifteen billion, four hundred twenty-eight million, one hundred twenty-eight thousand, three hundred twenty".