15946728 has 64 divisors (see below), whose sum is σ = 47554560. Its totient is φ = 4357056.

The previous prime is 15946727. The next prime is 15946739. The reversal of 15946728 is 82764951.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15946728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15946727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801 + ... + 5927.

It is an arithmetic number, because the mean of its divisors is an integer number (743040).

Almost surely, 2^15946728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15946728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777280).

15946728 is an abundant number, since it is smaller than the sum of its proper divisors (31607832).

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

15946728 is a wasteful number, since it uses less digits than its factorization.

15946728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4162 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 15946728 is about 3993.3354479683. The cubic root of 15946728 is about 251.7042385514.

The spelling of 15946728 in words is "fifteen million, nine hundred forty-six thousand, seven hundred twenty-eight".