28947360 has 96 divisors (see below), whose sum is σ = 98219520. Its totient is φ = 7123968.

The previous prime is 28947341. The next prime is 28947361. The reversal of 28947360 is 6374982.

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

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

It is not an unprimeable number, because it can be changed into a prime (28947361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3921 + ... + 8559.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 2^28947360 is an apocalyptic number.

28947360 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 28947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109760).

28947360 is an abundant number, since it is smaller than the sum of its proper divisors (69272160).

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

28947360 is a wasteful number, since it uses less digits than its factorization.

28947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 28947360 is about 5380.2750859041. The cubic root of 28947360 is about 307.0456771542.

The spelling of 28947360 in words is "twenty-eight million, nine hundred forty-seven thousand, three hundred sixty".