28668379488 has 384 divisors, whose sum is σ = 94396409856. Its totient is φ = 7431782400.

The previous prime is 28668379477. The next prime is 28668379489. The reversal of 28668379488 is 88497386682.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28668379489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45432933 + ... + 45433563.

It is an arithmetic number, because the mean of its divisors is an integer number (245823984).

Almost surely, 2^28668379488 is an apocalyptic number.

28668379488 is a gapful number since it is divisible by the number (28) 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 28668379488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47198204928).

28668379488 is an abundant number, since it is smaller than the sum of its proper divisors (65728030368).

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

28668379488 is a wasteful number, since it uses less digits than its factorization.

28668379488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 69.

It can be divided in two parts, 28668 and 379488, that added together give a triangular number (408156 = T₉₀₃).

The spelling of 28668379488 in words is "twenty-eight billion, six hundred sixty-eight million, three hundred seventy-nine thousand, four hundred eighty-eight".