28343248416 has 576 divisors, whose sum is σ = 99632332800. Its totient is φ = 7472424960.

The previous prime is 28343248399. The next prime is 28343248441. The reversal of 28343248416 is 61484234382.

It is a happy number.

28343248416 is a `hidden beast` number, since 28 + 343 + 248 + 41 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142428285 + ... + 142428483.

It is an arithmetic number, because the mean of its divisors is an integer number (172972800).

Almost surely, 2^28343248416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28343248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816166400).

28343248416 is an abundant number, since it is smaller than the sum of its proper divisors (71289084384).

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

28343248416 is a wasteful number, since it uses less digits than its factorization.

28343248416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 28343248416 in words is "twenty-eight billion, three hundred forty-three million, two hundred forty-eight thousand, four hundred sixteen".