5102784 has 56 divisors (see below), whose sum is σ = 15006320. Its totient is φ = 1700352.

The previous prime is 5102777. The next prime is 5102789. The reversal of 5102784 is 4872015.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (267970).

Almost surely, 2^5102784 is an apocalyptic number.

5102784 is a gapful number since it is divisible by the number (54) 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 5102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503160).

5102784 is an abundant number, since it is smaller than the sum of its proper divisors (9903536).

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

5102784 is a wasteful number, since it uses less digits than its factorization.

5102784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5102784 is about 2258.9342619917. The cubic root of 5102784 is about 172.1613772963.

Adding to 5102784 its reverse (4872015), we get a palindrome (9974799).

It can be divided in two parts, 5102 and 784, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5102784 in words is "five million, one hundred two thousand, seven hundred eighty-four".