223861728 has 48 divisors (see below), whose sum is σ = 591566976. Its totient is φ = 74121600.

The previous prime is 223861723. The next prime is 223861733. The reversal of 223861728 is 827168322.

It is an interprime number because it is at equal distance from previous prime (223861723) and next prime (223861733).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×223861728² = 100228146526291968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223861723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6775 + ... + 22217.

It is an arithmetic number, because the mean of its divisors is an integer number (12324312).

Almost surely, 2^223861728 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 223861728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

223861728 is an abundant number, since it is smaller than the sum of its proper divisors (367705248).

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

223861728 is a wasteful number, since it uses less digits than its factorization.

223861728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607 (or 15599 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 223861728 is about 14962.0094907068. The cubic root of 223861728 is about 607.1928057875.

The spelling of 223861728 in words is "two hundred twenty-three million, eight hundred sixty-one thousand, seven hundred twenty-eight".