15828480 has 160 divisors (see below), whose sum is σ = 56469600. Its totient is φ = 4202496.

The previous prime is 15828469. The next prime is 15828481. The reversal of 15828480 is 8482851.

15828480 is a `hidden beast` number, since 158 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×15828480² = 501081558220800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15828481) 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, 69006 + ... + 69234.

It is an arithmetic number, because the mean of its divisors is an integer number (352935).

Almost surely, 2^15828480 is an apocalyptic number.

15828480 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 15828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234800).

15828480 is an abundant number, since it is smaller than the sum of its proper divisors (40641120).

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

15828480 is an equidigital number, since it uses as much as digits as its factorization.

15828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 15828480 is about 3978.5022307396. The cubic root of 15828480 is about 251.0805495883.

The spelling of 15828480 in words is "fifteen million, eight hundred twenty-eight thousand, four hundred eighty".