28964160 has 168 divisors, whose sum is σ = 101635560. Its totient is φ = 7569408.

The previous prime is 28964119. The next prime is 28964161. The reversal of 28964160 is 6146982.

28964160 is a `hidden beast` number, since 2 + 8 + 9 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 28132416 = 912^2 + 5304^2 .

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 (28964161) 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 23 ways as a sum of consecutive naturals, for example, 256264 + ... + 256376.

Almost surely, 2^28964160 is an apocalyptic number.

28964160 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 28964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50817780).

28964160 is an abundant number, since it is smaller than the sum of its proper divisors (72671400).

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

28964160 is a wasteful number, since it uses less digits than its factorization.

28964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28964160 is about 5381.8361179062. The cubic root of 28964160 is about 307.1050650660.

It can be divided in two parts, 289641 and 60, that multiplied together give a triangular number (17378460 = T₅₈₉₅).

The spelling of 28964160 in words is "twenty-eight million, nine hundred sixty-four thousand, one hundred sixty".