16378128 has 90 divisors (see below), whose sum is σ = 49706826. Its totient is φ = 5031936.

The previous prime is 16378111. The next prime is 16378151. The reversal of 16378128 is 82187361.

16378128 is a `hidden beast` number, since 1 + 637 + 8 + 12 + 8 = 666.

16378128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 16257024 = 348^2 + 4032^2 .

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 = 16378092 and 16378101.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24000 + ... + 24672.

Almost surely, 2^16378128 is an apocalyptic number.

16378128 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 16378128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24853413).

16378128 is an abundant number, since it is smaller than the sum of its proper divisors (33328698).

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

16378128 is a wasteful number, since it uses less digits than its factorization.

16378128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 691 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 16378128 is about 4046.9899925747. The cubic root of 16378128 is about 253.9538221796.

The spelling of 16378128 in words is "sixteen million, three hundred seventy-eight thousand, one hundred twenty-eight".