224623406928 has 320 divisors, whose sum is σ = 640985260032. Its totient is φ = 67504742400.

The previous prime is 224623406831. The next prime is 224623406957. The reversal of 224623406928 is 829604326422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 398975575 + ... + 398976137.

Almost surely, 2^224623406928 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 224623406928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320492630016).

224623406928 is an abundant number, since it is smaller than the sum of its proper divisors (416361853104).

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

224623406928 is a wasteful number, since it uses less digits than its factorization.

224623406928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 224623406928 in words is "two hundred twenty-four billion, six hundred twenty-three million, four hundred six thousand, nine hundred twenty-eight".