28998144 has 240 divisors, whose sum is σ = 102136320. Its totient is φ = 7741440.

The previous prime is 28998143. The next prime is 28998149. The reversal of 28998144 is 44189982.

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

Its product of digits (165888) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 28998144.

It is not an unprimeable number, because it can be changed into a prime (28998143) 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 23 ways as a sum of consecutive naturals, for example, 935409 + ... + 935439.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 2^28998144 is an apocalyptic number.

28998144 is a gapful number since it is divisible by the number (24) 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 28998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

28998144 is an abundant number, since it is smaller than the sum of its proper divisors (73138176).

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

28998144 is a wasteful number, since it uses less digits than its factorization.

28998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 28998144 is about 5384.9924791034. The cubic root of 28998144 is about 307.2251281529.

The spelling of 28998144 in words is "twenty-eight million, nine hundred ninety-eight thousand, one hundred forty-four".