28165228416 has 512 divisors, whose sum is σ = 93494016000. Its totient is φ = 8291082240.

The previous prime is 28165228411. The next prime is 28165228451. The reversal of 28165228416 is 61482256182.

28165228416 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 5 + 228 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28165228411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117846025 + ... + 117846263.

It is an arithmetic number, because the mean of its divisors is an integer number (182605500).

Almost surely, 2^28165228416 is an apocalyptic number.

28165228416 is a gapful number since it is divisible by the number (26) 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 28165228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46747008000).

28165228416 is an abundant number, since it is smaller than the sum of its proper divisors (65328787584).

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

28165228416 is a wasteful number, since it uses less digits than its factorization.

28165228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 28165228416 in words is "twenty-eight billion, one hundred sixty-five million, two hundred twenty-eight thousand, four hundred sixteen".