28742880 has 96 divisors (see below), whose sum is σ = 91282464. Its totient is φ = 7602176.

The previous prime is 28742873. The next prime is 28742887. The reversal of 28742880 is 8824782.

It is an interprime number because it is at equal distance from previous prime (28742873) and next prime (28742887).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28742887) 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, 111712 + ... + 111968.

It is an arithmetic number, because the mean of its divisors is an integer number (950859).

Almost surely, 2^28742880 is an apocalyptic number.

28742880 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 28742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45641232).

28742880 is an abundant number, since it is smaller than the sum of its proper divisors (62539584).

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

28742880 is a wasteful number, since it uses less digits than its factorization.

28742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 28742880 is about 5361.2386628465. The cubic root of 28742880 is about 306.3209925658.

The spelling of 28742880 in words is "twenty-eight million, seven hundred forty-two thousand, eight hundred eighty".