28767560640 has 224 divisors, whose sum is σ = 112415116800. Its totient is φ = 6069620736.

The previous prime is 28767560617. The next prime is 28767560663. The reversal of 28767560640 is 4606576782.

It is an interprime number because it is at equal distance from previous prime (28767560617) and next prime (28767560663).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77290 + ... + 252009.

It is an arithmetic number, because the mean of its divisors is an integer number (501853200).

Almost surely, 2^28767560640 is an apocalyptic number.

28767560640 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 28767560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56207558400).

28767560640 is an abundant number, since it is smaller than the sum of its proper divisors (83647556160).

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

28767560640 is a wasteful number, since it uses less digits than its factorization.

28767560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329339 (or 329329 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 28767560640 in words is "twenty-eight billion, seven hundred sixty-seven million, five hundred sixty thousand, six hundred forty".