13476528 has 120 divisors (see below), whose sum is σ = 42518112. Its totient is φ = 3953664.

The previous prime is 13476523. The next prime is 13476539. The reversal of 13476528 is 82567431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13476492 and 13476501.

It is not an unprimeable number, because it can be changed into a prime (13476521) 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 23 ways as a sum of consecutive naturals, for example, 42900 + ... + 43212.

Almost surely, 2^13476528 is an apocalyptic number.

13476528 is a gapful number since it is divisible by the number (18) 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 13476528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21259056).

13476528 is an abundant number, since it is smaller than the sum of its proper divisors (29041584).

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

13476528 is a wasteful number, since it uses less digits than its factorization.

13476528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13476528 is about 3671.0390899580. The cubic root of 13476528 is about 237.9720796756.

It can be divided in two parts, 1347 and 6528, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 13476528 in words is "thirteen million, four hundred seventy-six thousand, five hundred twenty-eight".