28764160 has 72 divisors (see below), whose sum is σ = 70343910. Its totient is φ = 11288576.

The previous prime is 28764139. The next prime is 28764161. The reversal of 28764160 is 6146782.

It can be written as a sum of positive squares in 3 ways, for example, as 27206656 + 1557504 = 5216^2 + 1248^2 .

It is not an unprimeable number, because it can be changed into a prime (28764161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 542694 + ... + 542746.

Almost surely, 2^28764160 is an apocalyptic number.

28764160 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 28764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35171955).

28764160 is an abundant number, since it is smaller than the sum of its proper divisors (41579750).

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

28764160 is an frugal number, since it uses more digits than its factorization.

28764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 28764160 is about 5363.2229116456. Note that the first 3 decimals coincide. The cubic root of 28764160 is about 306.3965695749.

The spelling of 28764160 in words is "twenty-eight million, seven hundred sixty-four thousand, one hundred sixty".