15034093128 has 96 divisors (see below), whose sum is σ = 42459668160. Its totient is φ = 4983560640.

The previous prime is 15034093127. The next prime is 15034093133. The reversal of 15034093128 is 82139043051.

15034093128 is a `hidden beast` number, since 1 + 503 + 40 + 93 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15034093092 and 15034093101.

It is not an unprimeable number, because it can be changed into a prime (15034093127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330501 + ... + 373227.

It is an arithmetic number, because the mean of its divisors is an integer number (442288210).

Almost surely, 2^15034093128 is an apocalyptic number.

15034093128 is a gapful number since it is divisible by the number (18) 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 15034093128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229834080).

15034093128 is an abundant number, since it is smaller than the sum of its proper divisors (27425575032).

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

15034093128 is a wasteful number, since it uses less digits than its factorization.

15034093128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42929 (or 42913 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 15034093128 in words is "fifteen billion, thirty-four million, ninety-three thousand, one hundred twenty-eight".