28410354720 has 768 divisors, whose sum is σ = 112537797120. Its totient is φ = 6774451200.

The previous prime is 28410354719. The next prime is 28410354727. The reversal of 28410354720 is 2745301482.

It is a happy number.

28410354720 is a `hidden beast` number, since 2 + 8 + 4 + 103 + 547 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28410354727) 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, 465743490 + ... + 465743550.

It is an arithmetic number, because the mean of its divisors is an integer number (146533590).

Almost surely, 2^28410354720 is an apocalyptic number.

28410354720 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 28410354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56268898560).

28410354720 is an abundant number, since it is smaller than the sum of its proper divisors (84127442400).

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

28410354720 is an frugal number, since it uses more digits than its factorization.

28410354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28410354720 in words is "twenty-eight billion, four hundred ten million, three hundred fifty-four thousand, seven hundred twenty".