28132416 has 189 divisors, whose sum is σ = 92754831. Its totient is φ = 8146944.

The previous prime is 28132393. The next prime is 28132417. The reversal of 28132416 is 61423182.

The square root of 28132416 is 5304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 27878400 = 504^2 + 5280^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28132416.

It is not an unprimeable number, because it can be changed into a prime (28132417) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1654840 + ... + 1654856.

Almost surely, 2^28132416 is an apocalyptic number.

28132416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

28132416 is the 5304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28132416

28132416 is an abundant number, since it is smaller than the sum of its proper divisors (64622415).

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

28132416 is a wasteful number, since it uses less digits than its factorization.

28132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The cubic root of 28132416 is about 304.1368266801.

Multiplying 28132416 by its product of digits (2304), we get a square (64817086464 = 254592²).

Adding to 28132416 its reverse (61423182), we get a palindrome (89555598).

The spelling of 28132416 in words is "twenty-eight million, one hundred thirty-two thousand, four hundred sixteen".