28026792 has 48 divisors (see below), whose sum is σ = 76707540. Its totient is φ = 9243648.

The previous prime is 28026787. The next prime is 28026827. The reversal of 28026792 is 29762082.

It can be written as a sum of positive squares in 2 ways, for example, as 27311076 + 715716 = 5226^2 + 846^2 .

It is a super-3 number, since 3×28026792³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4978 + ... + 8990.

Almost surely, 2^28026792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28026792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38353770).

28026792 is an abundant number, since it is smaller than the sum of its proper divisors (48680748).

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

28026792 is a wasteful number, since it uses less digits than its factorization.

28026792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28026792 is about 5294.0336228626. The cubic root of 28026792 is about 303.7557190408.

It can be divided in two parts, 280 and 26792, that added together give a palindrome (27072).

The spelling of 28026792 in words is "twenty-eight million, twenty-six thousand, seven hundred ninety-two".