28496000 has 128 divisors (see below), whose sum is σ = 76854960. Its totient is φ = 10444800.

The previous prime is 28495993. The next prime is 28496003. The reversal of 28496000 is 69482.

It can be written as a sum of positive squares in 8 ways, for example, as 23104 + 28472896 = 152^2 + 5336^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28496003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207932 + ... + 208068.

Almost surely, 2^28496000 is an apocalyptic number.

28496000 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 28496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38427480).

28496000 is an abundant number, since it is smaller than the sum of its proper divisors (48358960).

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

28496000 is a wasteful number, since it uses less digits than its factorization.

28496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 28496000 is about 5338.1644785450. The cubic root of 28496000 is about 305.4414462190.

The spelling of 28496000 in words is "twenty-eight million, four hundred ninety-six thousand".