28480000 has 100 divisors (see below), whose sum is σ = 71906670. Its totient is φ = 11264000.

The previous prime is 28479991. The next prime is 28480019. The reversal of 28480000 is 8482.

It can be written as a sum of positive squares in 5 ways, for example, as 92416 + 28387584 = 304^2 + 5328^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×28480000² = 1622220800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319956 + ... + 320044.

Almost surely, 2^28480000 is an apocalyptic number.

28480000 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 28480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35953335).

28480000 is an abundant number, since it is smaller than the sum of its proper divisors (43426670).

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

28480000 is an frugal number, since it uses more digits than its factorization.

28480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 28480000 is about 5336.6656256505. The cubic root of 28480000 is about 305.3842688597.

Adding to 28480000 its reverse (8482), we get a palindrome (28488482).

The spelling of 28480000 in words is "twenty-eight million, four hundred eighty thousand".