15066828 has 72 divisors (see below), whose sum is σ = 46099872. Its totient is φ = 4050432.

The previous prime is 15066823. The next prime is 15066841. The reversal of 15066828 is 82866051.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 15066792 and 15066801.

It is not an unprimeable number, because it can be changed into a prime (15066823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526 + ... + 6042.

It is an arithmetic number, because the mean of its divisors is an integer number (640276).

Almost surely, 2^15066828 is an apocalyptic number.

15066828 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 15066828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23049936).

15066828 is an abundant number, since it is smaller than the sum of its proper divisors (31033044).

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

15066828 is a wasteful number, since it uses less digits than its factorization.

15066828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 15066828 is about 3881.6012159932. The cubic root of 15066828 is about 246.9869138057.

The spelling of 15066828 in words is "fifteen million, sixty-six thousand, eight hundred twenty-eight".