11457828 has 48 divisors (see below), whose sum is σ = 29890560. Its totient is φ = 3795552.

The previous prime is 11457811. The next prime is 11457833. The reversal of 11457828 is 82875411.

11457828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11457792 and 11457801.

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, 29725 + ... + 30107.

It is an arithmetic number, because the mean of its divisors is an integer number (622720).

Almost surely, 2^11457828 is an apocalyptic number.

11457828 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 11457828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945280).

11457828 is an abundant number, since it is smaller than the sum of its proper divisors (18432732).

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

11457828 is a wasteful number, since it uses less digits than its factorization.

11457828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 11457828 is about 3384.9413584285. The cubic root of 11457828 is about 225.4416215237.

The spelling of 11457828 in words is "eleven million, four hundred fifty-seven thousand, eight hundred twenty-eight".