28769598144 has 504 divisors, whose sum is σ = 104767440960. Its totient is φ = 7783340544.

The previous prime is 28769598131. The next prime is 28769598149. The reversal of 28769598144 is 44189596782.

28769598144 is a `hidden beast` number, since 28 + 7 + 6 + 9 + 598 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28769598149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14477919 + ... + 14479905.

Almost surely, 2^28769598144 is an apocalyptic number.

28769598144 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 28769598144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52383720480).

28769598144 is an abundant number, since it is smaller than the sum of its proper divisors (75997842816).

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

28769598144 is a wasteful number, since it uses less digits than its factorization.

28769598144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2018 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 28769598144 in words is "twenty-eight billion, seven hundred sixty-nine million, five hundred ninety-eight thousand, one hundred forty-four".