28692048 has 120 divisors (see below), whose sum is σ = 94145760. Its totient is φ = 7445760.

The previous prime is 28692029. The next prime is 28692077. The reversal of 28692048 is 84029682.

It is a junction number, because it is equal to n+sod(n) for n = 28691997 and 28692015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25318 + ... + 26426.

It is an arithmetic number, because the mean of its divisors is an integer number (784548).

Almost surely, 2^28692048 is an apocalyptic number.

28692048 is a gapful number since it is divisible by the number (28) 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 28692048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47072880).

28692048 is an abundant number, since it is smaller than the sum of its proper divisors (65453712).

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

28692048 is a wasteful number, since it uses less digits than its factorization.

28692048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28692048 is about 5356.4958695027. The cubic root of 28692048 is about 306.1403090155.

It can be divided in two parts, 28 and 692048, that added together give a triangular number (692076 = T₁₁₇₆).

The spelling of 28692048 in words is "twenty-eight million, six hundred ninety-two thousand, forty-eight".