28450752768 has 288 divisors, whose sum is σ = 88080048000. Its totient is φ = 9048858624.

The previous prime is 28450752761. The next prime is 28450752797. The reversal of 28450752768 is 86725705482.

28450752768 is a `hidden beast` number, since 2 + 8 + 4 + 50 + 7 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (28450752761) 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, 13553383 + ... + 13555481.

It is an arithmetic number, because the mean of its divisors is an integer number (305833500).

Almost surely, 2^28450752768 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 28450752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44040024000).

28450752768 is an abundant number, since it is smaller than the sum of its proper divisors (59629295232).

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

28450752768 is a wasteful number, since it uses less digits than its factorization.

28450752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 28450752768 in words is "twenty-eight billion, four hundred fifty million, seven hundred fifty-two thousand, seven hundred sixty-eight".