16029232128 has 704 divisors, whose sum is σ = 61185976320. Its totient is φ = 4029087744.

The previous prime is 16029232127. The next prime is 16029232223. The reversal of 16029232128 is 82123292061.

It is a happy number.

16029232128 is a `hidden beast` number, since 1 + 602 + 9 + 2 + 3 + 21 + 28 = 666.

It is a super-2 number, since 2×16029232128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16029232092 and 16029232101.

It is not an unprimeable number, because it can be changed into a prime (16029232127) 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, 57867126 + ... + 57867402.

Almost surely, 2^16029232128 is an apocalyptic number.

16029232128 is a gapful number since it is divisible by the number (18) 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 16029232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30592988160).

16029232128 is an abundant number, since it is smaller than the sum of its proper divisors (45156744192).

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

16029232128 is a wasteful number, since it uses less digits than its factorization.

16029232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16029232128 in words is "sixteen billion, twenty-nine million, two hundred thirty-two thousand, one hundred twenty-eight".