28833480 has 192 divisors, whose sum is σ = 103587120. Its totient is φ = 6912000.

The previous prime is 28833473. The next prime is 28833487. The reversal of 28833480 is 8433882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28833473) and next prime (28833487).

It can be written as a sum of positive squares in 8 ways, for example, as 6874884 + 21958596 = 2622^2 + 4686^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28833487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285430 + ... + 285530.

Almost surely, 2^28833480 is an apocalyptic number.

28833480 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 28833480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793560).

28833480 is an abundant number, since it is smaller than the sum of its proper divisors (74753640).

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

28833480 is a wasteful number, since it uses less digits than its factorization.

28833480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28833480 is about 5369.6815548038. The cubic root of 28833480 is about 306.6425049227.

The spelling of 28833480 in words is "twenty-eight million, eight hundred thirty-three thousand, four hundred eighty".