15428832 has 48 divisors (see below), whose sum is σ = 40778640. Its totient is φ = 5107712.

The previous prime is 15428813. The next prime is 15428839. The reversal of 15428832 is 23882451.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 15428793 and 15428802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15428839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16144 + ... + 17072.

It is an arithmetic number, because the mean of its divisors is an integer number (849555).

Almost surely, 2^15428832 is an apocalyptic number.

15428832 is a gapful number since it is divisible by the number (12) 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 15428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389320).

15428832 is an abundant number, since it is smaller than the sum of its proper divisors (25349808).

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

15428832 is a wasteful number, since it uses less digits than its factorization.

15428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 15428832 is about 3927.9551932271. The cubic root of 15428832 is about 248.9493614868.

The spelling of 15428832 in words is "fifteen million, four hundred twenty-eight thousand, eight hundred thirty-two".