11428560 has 320 divisors, whose sum is σ = 47496960. Its totient is φ = 2488320.

The previous prime is 11428559. The next prime is 11428591. The reversal of 11428560 is 6582411.

It is a super-2 number, since 2×11428560² = 261223967347200, which contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308862 + ... + 308898.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^11428560 is an apocalyptic number.

11428560 is a gapful number since it is divisible by the number (10) 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 11428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

11428560 is an abundant number, since it is smaller than the sum of its proper divisors (36068400).

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

11428560 is a wasteful number, since it uses less digits than its factorization.

11428560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11428560 is about 3380.6153286051. The cubic root of 11428560 is about 225.2495010055.

The spelling of 11428560 in words is "eleven million, four hundred twenty-eight thousand, five hundred sixty".