28189812672 has 224 divisors, whose sum is σ = 95408739840. Its totient is φ = 7994972160.

The previous prime is 28189812671. The next prime is 28189812731. The reversal of 28189812672 is 27621898182.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28189812671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648647 + ... + 1665657.

Almost surely, 2^28189812672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28189812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47704369920).

28189812672 is an abundant number, since it is smaller than the sum of its proper divisors (67218927168).

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

28189812672 is a wasteful number, since it uses less digits than its factorization.

28189812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17160 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 28189812672 in words is "twenty-eight billion, one hundred eighty-nine million, eight hundred twelve thousand, six hundred seventy-two".