216193526928 has 240 divisors, whose sum is σ = 638559754560. Its totient is φ = 70799173632.

The previous prime is 216193526921. The next prime is 216193526929. The reversal of 216193526928 is 829625391612.

216193526928 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 93 + 526 + 9 + 28 = 666.

It is a super-2 number, since 2×216193526928² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (216193526921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56401300 + ... + 56405132.

It is an arithmetic number, because the mean of its divisors is an integer number (2660665644).

Almost surely, 2^216193526928 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 216193526928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319279877280).

216193526928 is an abundant number, since it is smaller than the sum of its proper divisors (422366227632).

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

216193526928 is a wasteful number, since it uses less digits than its factorization.

216193526928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4090 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 216193526928 in words is "two hundred sixteen billion, one hundred ninety-three million, five hundred twenty-six thousand, nine hundred twenty-eight".