10052784 has 60 divisors (see below), whose sum is σ = 32156176. Its totient is φ = 2871936.

The previous prime is 10052761. The next prime is 10052807. The reversal of 10052784 is 48725001.

It is an interprime number because it is at equal distance from previous prime (10052761) and next prime (10052807).

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, 3979 + ... + 5994.

Almost surely, 2^10052784 is an apocalyptic number.

10052784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10052784 is an abundant number, since it is smaller than the sum of its proper divisors (22103392).

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

10052784 is a wasteful number, since it uses less digits than its factorization.

10052784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 9985 counting only the distinct ones).

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

The square root of 10052784 is about 3170.6125591122. The cubic root of 10052784 is about 215.8218696011.

Adding to 10052784 its reverse (48725001), we get a palindrome (58777785).

The spelling of 10052784 in words is "ten million, fifty-two thousand, seven hundred eighty-four".