28865266964064 has 288 divisors, whose sum is σ = 90290192952960. Its totient is φ = 9045758592000.

The previous prime is 28865266964003. The next prime is 28865266964089. The reversal of 28865266964064 is 46046966256882.

28865266964064 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 526 + 6 + 96 + 4 + 0 + 6 + 4 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 28865266963983 and 28865266964001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18608764 + ... + 20100164.

It is an arithmetic number, because the mean of its divisors is an integer number (313507614420).

Almost surely, 2^{28865266964064} is an apocalyptic number.

28865266964064 is a gapful number since it is divisible by the number (24) 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 28865266964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45145096476480).

28865266964064 is an abundant number, since it is smaller than the sum of its proper divisors (61424925988896).

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

28865266964064 is a wasteful number, since it uses less digits than its factorization.

28865266964064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491576 (or 1491556 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 28865266964064 in words is "twenty-eight trillion, eight hundred sixty-five billion, two hundred sixty-six million, nine hundred sixty-four thousand, sixty-four".