64428 has 48 divisors (see below), whose sum is σ = 188160. Its totient is φ = 16704.

The previous prime is 64403. The next prime is 64433. The reversal of 64428 is 82446.

64428 = T₅₇ + T₅₈ + ... + T₈₂.

It is a junction number, because it is equal to n+sod(n) for n = 64398 and 64407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64428.

It is an unprimeable number.

64428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1063 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2⁶⁴⁴²⁸ 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 64428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

64428 is an abundant number, since it is smaller than the sum of its proper divisors (123732).

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

64428 is a wasteful number, since it uses less digits than its factorization.

64428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 64428 is about 253.8267125422. The cubic root of 64428 is about 40.0889686345.

The spelling of 64428 in words is "sixty-four thousand, four hundred twenty-eight".