28741680 has 240 divisors, whose sum is σ = 111421440. Its totient is φ = 6566400.

The previous prime is 28741649. The next prime is 28741729. The reversal of 28741680 is 8614782.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150385 + ... + 150575.

It is an arithmetic number, because the mean of its divisors is an integer number (464256).

Almost surely, 2^28741680 is an apocalyptic number.

28741680 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 28741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

28741680 is an abundant number, since it is smaller than the sum of its proper divisors (82679760).

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

28741680 is a wasteful number, since it uses less digits than its factorization.

28741680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28741680 is about 5361.1267472426. The cubic root of 28741680 is about 306.3167295935.

It can be divided in two parts, 287416 and 80, that added together give a cube (287496 = 66³).

The spelling of 28741680 in words is "twenty-eight million, seven hundred forty-one thousand, six hundred eighty".