28728120 has 64 divisors (see below), whose sum is σ = 87829920. Its totient is φ = 7514624.

The previous prime is 28728097. The next prime is 28728121. The reversal of 28728120 is 2182782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28728121) 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, 4102 + ... + 8618.

Almost surely, 2^28728120 is an apocalyptic number.

28728120 is a gapful number since it is divisible by the number (20) 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 28728120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43914960).

28728120 is an abundant number, since it is smaller than the sum of its proper divisors (59101800).

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

28728120 is a wasteful number, since it uses less digits than its factorization.

28728120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 28728120 is about 5359.8619385204. The cubic root of 28728120 is about 306.2685497580.

The spelling of 28728120 in words is "twenty-eight million, seven hundred twenty-eight thousand, one hundred twenty".