28853760 has 240 divisors, whose sum is σ = 105524496. Its totient is φ = 6684672.

The previous prime is 28853749. The next prime is 28853767. The reversal of 28853760 is 6735882.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28853760² = 1665078932275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28853767) 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, 1697272 + ... + 1697288.

Almost surely, 2^28853760 is an apocalyptic number.

28853760 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 28853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52762248).

28853760 is an abundant number, since it is smaller than the sum of its proper divisors (76670736).

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

28853760 is a wasteful number, since it uses less digits than its factorization.

28853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 28853760 is about 5371.5696030118. The cubic root of 28853760 is about 306.7143803096.

The spelling of 28853760 in words is "twenty-eight million, eight hundred fifty-three thousand, seven hundred sixty".