28229618340 has 288 divisors, whose sum is σ = 111453148800. Its totient is φ = 5865834240.

The previous prime is 28229618317. The next prime is 28229618387. The reversal of 28229618340 is 4381692282.

28229618340 is a `hidden beast` number, since 2 + 8 + 2 + 29 + 618 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×28229618340² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242566 + ... + 339554.

It is an arithmetic number, because the mean of its divisors is an integer number (386990100).

Almost surely, 2^28229618340 is an apocalyptic number.

28229618340 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 28229618340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55726574400).

28229618340 is an abundant number, since it is smaller than the sum of its proper divisors (83223530460).

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

28229618340 is a wasteful number, since it uses less digits than its factorization.

28229618340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97032 (or 97017 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28229618340 in words is "twenty-eight billion, two hundred twenty-nine million, six hundred eighteen thousand, three hundred forty".