13288800 has 216 divisors, whose sum is σ = 50762376. Its totient is φ = 3010560.

The previous prime is 13288799. The next prime is 13288811. The reversal of 13288800 is 888231.

13288800 = T₄₇₁ + T₄₇₂ + ... + T₅₆₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117544 + ... + 117656.

It is an arithmetic number, because the mean of its divisors is an integer number (235011).

Almost surely, 2^13288800 is an apocalyptic number.

13288800 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 13288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381188).

13288800 is an abundant number, since it is smaller than the sum of its proper divisors (37473576).

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

13288800 is a wasteful number, since it uses less digits than its factorization.

13288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 13288800 is about 3645.3806385616. The cubic root of 13288800 is about 236.8619253069.

The spelling of 13288800 in words is "thirteen million, two hundred eighty-eight thousand, eight hundred".