10228064 has 72 divisors (see below), whose sum is σ = 25596648. Its totient is φ = 3978240.

The previous prime is 10228027. The next prime is 10228069. The reversal of 10228064 is 46082201.

10228064 = T₄₀₇ + T₄₀₈ + ... + T₅₀₄.

It is a super-2 number, since 2×10228064² = 209226586376192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16952 + ... + 17544.

It is an arithmetic number, because the mean of its divisors is an integer number (355509).

Almost surely, 2^10228064 is an apocalyptic number.

10228064 is a gapful number since it is divisible by the number (14) 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 10228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798324).

10228064 is an abundant number, since it is smaller than the sum of its proper divisors (15368584).

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

10228064 is a wasteful number, since it uses less digits than its factorization.

10228064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10228064 is about 3198.1344562104. The cubic root of 10228064 is about 217.0690033763.

The spelling of 10228064 in words is "ten million, two hundred twenty-eight thousand, sixty-four".