28646496 has 72 divisors (see below), whose sum is σ = 86270184. Its totient is φ = 8985600.

The previous prime is 28646489. The next prime is 28646507. The reversal of 28646496 is 69464682.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (1198197).

Almost surely, 2^28646496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28646496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43135092).

28646496 is an abundant number, since it is smaller than the sum of its proper divisors (57623688).

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

28646496 is a wasteful number, since it uses less digits than its factorization.

28646496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5873 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 28646496 is about 5352.2421469885. The cubic root of 28646496 is about 305.9782119563.

The spelling of 28646496 in words is "twenty-eight million, six hundred forty-six thousand, four hundred ninety-six".