28677870144 has 504 divisors, whose sum is σ = 105863599296. Its totient is φ = 7338240000.

The previous prime is 28677870119. The next prime is 28677870149. The reversal of 28677870144 is 44107877682.

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

It is a super-2 number, since 2×28677870144² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28677870149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22042294 + ... + 22043594.

It is an arithmetic number, because the mean of its divisors is an integer number (210046824).

Almost surely, 2^28677870144 is an apocalyptic number.

28677870144 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 28677870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52931799648).

28677870144 is an abundant number, since it is smaller than the sum of its proper divisors (77185729152).

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

28677870144 is a wasteful number, since it uses less digits than its factorization.

28677870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 28677870144 in words is "twenty-eight billion, six hundred seventy-seven million, eight hundred seventy thousand, one hundred forty-four".