16282728 has 192 divisors, whose sum is σ = 57456000. Its totient is φ = 4181760.

The previous prime is 16282709. The next prime is 16282733. The reversal of 16282728 is 82728261.

It is a happy number.

16282728 is a `hidden beast` number, since 1 + 628 + 2 + 7 + 28 = 666.

16282728 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 is a super-2 number, since 2×16282728² = 530254462243968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (21504) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 16282692 and 16282701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182908 + ... + 182996.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 2^16282728 is an apocalyptic number.

16282728 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 16282728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

16282728 is an abundant number, since it is smaller than the sum of its proper divisors (41173272).

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

16282728 is a wasteful number, since it uses less digits than its factorization.

16282728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 16282728 is about 4035.1862410551. The cubic root of 16282728 is about 253.4597814421.

It can be divided in two parts, 1628 and 2728, that added together give a square (4356 = 66²).

The spelling of 16282728 in words is "sixteen million, two hundred eighty-two thousand, seven hundred twenty-eight".