28971360 has 288 divisors, whose sum is σ = 113218560. Its totient is φ = 6681600.

The previous prime is 28971359. The next prime is 28971361. The reversal of 28971360 is 6317982.

It is an interprime number because it is at equal distance from previous prime (28971359) and next prime (28971361).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28971361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491011 + ... + 491069.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^28971360 is an apocalyptic number.

28971360 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 28971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

28971360 is an abundant number, since it is smaller than the sum of its proper divisors (84247200).

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

28971360 is a wasteful number, since it uses less digits than its factorization.

28971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 28971360 is about 5382.5049930307. The cubic root of 28971360 is about 307.1305099984.

The spelling of 28971360 in words is "twenty-eight million, nine hundred seventy-one thousand, three hundred sixty".