28728960 has 128 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 7065600.

The previous prime is 28728949. The next prime is 28728967. The reversal of 28728960 is 6982782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (28728967) 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, 24385 + ... + 25535.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^28728960 is an apocalyptic number.

28728960 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 28728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

28728960 is an abundant number, since it is smaller than the sum of its proper divisors (69974400).

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

28728960 is a wasteful number, since it uses less digits than its factorization.

28728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 28728960 is about 5359.9402981750. The cubic root of 28728960 is about 306.2715347900.

The spelling of 28728960 in words is "twenty-eight million, seven hundred twenty-eight thousand, nine hundred sixty".