28865710540800 has 2880 divisors, whose sum is σ = 130943869056000. Its totient is φ = 6137749831680.

The previous prime is 28865710540697. The next prime is 28865710540801. The reversal of 28865710540800 is 804501756882.

28865710540800 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 5 + 7 + 10 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (28865710540801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32543077957 + ... + 32543078843.

It is an arithmetic number, because the mean of its divisors is an integer number (45466621200).

Almost surely, 2^{28865710540800} is an apocalyptic number.

28865710540800 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 28865710540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65471934528000).

28865710540800 is an abundant number, since it is smaller than the sum of its proper divisors (102078158515200).

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

28865710540800 is a wasteful number, since it uses less digits than its factorization.

28865710540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 28865710540800 in words is "twenty-eight trillion, eight hundred sixty-five billion, seven hundred ten million, five hundred forty thousand, eight hundred".