16228638720 has 672 divisors, whose sum is σ = 67880666880. Its totient is φ = 3503554560.

The previous prime is 16228638703. The next prime is 16228638721. The reversal of 16228638720 is 2783682261.

16228638720 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 8 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16228638721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49028955 + ... + 49029285.

Almost surely, 2^16228638720 is an apocalyptic number.

16228638720 is a gapful number since it is divisible by the number (10) 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 16228638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33940333440).

16228638720 is an abundant number, since it is smaller than the sum of its proper divisors (51652028160).

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

16228638720 is a wasteful number, since it uses less digits than its factorization.

16228638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16228638720 in words is "sixteen billion, two hundred twenty-eight million, six hundred thirty-eight thousand, seven hundred twenty".