28478800 has 90 divisors (see below), whose sum is σ = 79645758. Its totient is φ = 9757440.

The previous prime is 28478797. The next prime is 28478803. The reversal of 28478800 is 887482.

It is an interprime number because it is at equal distance from previous prime (28478797) and next prime (28478803).

It can be written as a sum of positive squares in 3 ways, for example, as 8156736 + 20322064 = 2856^2 + 4508^2 .

It is a super-2 number, since 2×28478800² = 1622084098880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28478800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28478803) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 18874 + ... + 20326.

Almost surely, 2^28478800 is an apocalyptic number.

28478800 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 28478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39822879).

28478800 is an abundant number, since it is smaller than the sum of its proper divisors (51166958).

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

28478800 is a wasteful number, since it uses less digits than its factorization.

28478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 28478800 is about 5336.5531947129. The cubic root of 28478800 is about 305.3799796946.

The spelling of 28478800 in words is "twenty-eight million, four hundred seventy-eight thousand, eight hundred".