28747086100480 has 384 divisors, whose sum is σ = 77732466739200. Its totient is φ = 10108669132800.

The previous prime is 28747086100477. The next prime is 28747086100487. The reversal of 28747086100480 is 8400168074782.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28747086100487) 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, 6749724591 + ... + 6749728849.

It is an arithmetic number, because the mean of its divisors is an integer number (202428298800).

Almost surely, 2^{28747086100480} is an apocalyptic number.

28747086100480 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 28747086100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38866233369600).

28747086100480 is an abundant number, since it is smaller than the sum of its proper divisors (48985380638720).

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

28747086100480 is a wasteful number, since it uses less digits than its factorization.

28747086100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 55.

The spelling of 28747086100480 in words is "twenty-eight trillion, seven hundred forty-seven billion, eighty-six million, one hundred thousand, four hundred eighty".