15828540 has 144 divisors (see below), whose sum is σ = 55093248. Its totient is φ = 3324672.

The previous prime is 15828529. The next prime is 15828551. The reversal of 15828540 is 4582851.

15828540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15828529) and next prime (15828551).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70869 + ... + 71091.

It is an arithmetic number, because the mean of its divisors is an integer number (382592).

Almost surely, 2^15828540 is an apocalyptic number.

15828540 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 15828540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27546624).

15828540 is an abundant number, since it is smaller than the sum of its proper divisors (39264708).

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

15828540 is a wasteful number, since it uses less digits than its factorization.

15828540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 15828540 is about 3978.5097712586. The cubic root of 15828540 is about 251.0808668395.

The spelling of 15828540 in words is "fifteen million, eight hundred twenty-eight thousand, five hundred forty".