28138474462560 has 768 divisors, whose sum is σ = 111136090963968. Its totient is φ = 5813764300800.

The previous prime is 28138474462543. The next prime is 28138474462561. The reversal of 28138474462560 is 6526447483182.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 28138474462494 and 28138474462503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28138474462561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8650005894 + ... + 8650009146.

It is an arithmetic number, because the mean of its divisors is an integer number (144708451776).

Almost surely, 2^{28138474462560} is an apocalyptic number.

28138474462560 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 28138474462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55568045481984).

28138474462560 is an abundant number, since it is smaller than the sum of its proper divisors (82997616501408).

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

28138474462560 is a wasteful number, since it uses less digits than its factorization.

28138474462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 28138474462560 in words is "twenty-eight trillion, one hundred thirty-eight billion, four hundred seventy-four million, four hundred sixty-two thousand, five hundred sixty".