11288052 has 48 divisors (see below), whose sum is σ = 30811200. Its totient is φ = 3564000.

The previous prime is 11288023. The next prime is 11288089. The reversal of 11288052 is 25088211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699 + ... + 4802.

It is an arithmetic number, because the mean of its divisors is an integer number (641900).

Almost surely, 2^11288052 is an apocalyptic number.

11288052 is a gapful number since it is divisible by the number (12) 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 11288052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405600).

11288052 is an abundant number, since it is smaller than the sum of its proper divisors (19523148).

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

11288052 is a wasteful number, since it uses less digits than its factorization.

11288052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11288052 is about 3359.7696349601. The cubic root of 11288052 is about 224.3225847516.

It can be divided in two parts, 1128 and 8052, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 11288052 in words is "eleven million, two hundred eighty-eight thousand, fifty-two".