28946066688 has 432 divisors, whose sum is σ = 107923984896. Its totient is φ = 7517214720.

The previous prime is 28946066687. The next prime is 28946066689. The reversal of 28946066688 is 88666064982.

It is an interprime number because it is at equal distance from previous prime (28946066687) and next prime (28946066689).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×28946066688² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28946066687) 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 47 ways as a sum of consecutive naturals, for example, 4786995 + ... + 4793037.

Almost surely, 2^28946066688 is an apocalyptic number.

28946066688 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 28946066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53961992448).

28946066688 is an abundant number, since it is smaller than the sum of its proper divisors (78977918208).

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

28946066688 is an equidigital number, since it uses as much as digits as its factorization.

28946066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 28946066688 in words is "twenty-eight billion, nine hundred forty-six million, sixty-six thousand, six hundred eighty-eight".