28673963136 has 384 divisors, whose sum is σ = 103931667840. Its totient is φ = 7385333760.

The previous prime is 28673963117. The next prime is 28673963141. The reversal of 28673963136 is 63136937682.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4504596 + ... + 4510956.

It is an arithmetic number, because the mean of its divisors is an integer number (270655385).

Almost surely, 2^28673963136 is an apocalyptic number.

28673963136 is a gapful number since it is divisible by the number (26) 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 28673963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51965833920).

28673963136 is an abundant number, since it is smaller than the sum of its proper divisors (75257704704).

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

28673963136 is a wasteful number, since it uses less digits than its factorization.

28673963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6429 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 28673963136 in words is "twenty-eight billion, six hundred seventy-three million, nine hundred sixty-three thousand, one hundred thirty-six".