5428864 has 64 divisors (see below), whose sum is σ = 12680640. Its totient is φ = 2267136.

The previous prime is 5428853. The next prime is 5428867. The reversal of 5428864 is 4688245.

5428864 = T₁₀₄ + T₁₀₅ + ... + T₃₂₂.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5428867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65367 + ... + 65449.

It is an arithmetic number, because the mean of its divisors is an integer number (198135).

Almost surely, 2^5428864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340320).

5428864 is an abundant number, since it is smaller than the sum of its proper divisors (7251776).

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

5428864 is an equidigital number, since it uses as much as digits as its factorization.

5428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 5428864 is about 2329.9922746653. The cubic root of 5428864 is about 175.7530973192.

The spelling of 5428864 in words is "five million, four hundred twenty-eight thousand, eight hundred sixty-four".