28876738464 has 240 divisors, whose sum is σ = 101279299968. Its totient is φ = 7891665408.

The previous prime is 28876738463. The next prime is 28876738469. The reversal of 28876738464 is 46483767882.

28876738464 is a `hidden beast` number, since 2 + 8 + 87 + 67 + 38 + 464 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (28876738463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382714 + ... + 451910.

Almost surely, 2^28876738464 is an apocalyptic number.

28876738464 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 28876738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50639649984).

28876738464 is an abundant number, since it is smaller than the sum of its proper divisors (72402561504).

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

28876738464 is a wasteful number, since it uses less digits than its factorization.

28876738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69249 (or 69232 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 28876738464 in words is "twenty-eight billion, eight hundred seventy-six million, seven hundred thirty-eight thousand, four hundred sixty-four".