28945427760 has 200 divisors, whose sum is σ = 100798972560. Its totient is φ = 7698267648.

The previous prime is 28945427737. The next prime is 28945427761. The reversal of 28945427760 is 6772454982.

28945427760 is a `hidden beast` number, since 2 + 8 + 94 + 542 + 7 + 7 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28945427697 and 28945427706.

It is not an unprimeable number, because it can be changed into a prime (28945427761) 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, 2514979 + ... + 2526461.

Almost surely, 2^28945427760 is an apocalyptic number.

28945427760 is a gapful number since it is divisible by the number (20) 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 28945427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50399486280).

28945427760 is an abundant number, since it is smaller than the sum of its proper divisors (71853544800).

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

28945427760 is a wasteful number, since it uses less digits than its factorization.

28945427760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 28945427760 in words is "twenty-eight billion, nine hundred forty-five million, four hundred twenty-seven thousand, seven hundred sixty".