28728000 has 448 divisors, whose sum is σ = 126796800. Its totient is φ = 6220800.

The previous prime is 28727983. The next prime is 28728001. The reversal of 28728000 is 82782.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28728001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511991 + ... + 1512009.

Almost surely, 2^28728000 is an apocalyptic number.

28728000 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 28728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63398400).

28728000 is an abundant number, since it is smaller than the sum of its proper divisors (98068800).

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

28728000 is a wasteful number, since it uses less digits than its factorization.

28728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 28728000 is about 5359.8507441906. The cubic root of 28728000 is about 306.2681233201.

The spelling of 28728000 in words is "twenty-eight million, seven hundred twenty-eight thousand".