28862645760 has 960 divisors, whose sum is σ = 115608100608. Its totient is φ = 6855819264.

The previous prime is 28862645689. The next prime is 28862645767. The reversal of 28862645760 is 6754626882.

28862645760 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 2 + 64 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 28862645697 and 28862645706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28862645767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347742679 + ... + 347742761.

Almost surely, 2^28862645760 is an apocalyptic number.

28862645760 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 28862645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57804050304).

28862645760 is an abundant number, since it is smaller than the sum of its proper divisors (86745454848).

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

28862645760 is an equidigital number, since it uses as much as digits as its factorization.

28862645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28862645760 in words is "twenty-eight billion, eight hundred sixty-two million, six hundred forty-five thousand, seven hundred sixty".