623305728 has 132 divisors (see below), whose sum is σ = 1839352320. Its totient is φ = 203206656.

The previous prime is 623305723. The next prime is 623305741. The reversal of 623305728 is 827503326.

623305728 is a `hidden beast` number, since 623 + 3 + 0 + 5 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 623305692 and 623305701.

It is not an unprimeable number, because it can be changed into a prime (623305721) 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, 432433 + ... + 433871.

Almost surely, 2^623305728 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 623305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919676160).

623305728 is an abundant number, since it is smaller than the sum of its proper divisors (1216046592).

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

623305728 is a wasteful number, since it uses less digits than its factorization.

623305728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 623305728 is about 24966.0915643598. The cubic root of 623305728 is about 854.2146970107.

The spelling of 623305728 in words is "six hundred twenty-three million, three hundred five thousand, seven hundred twenty-eight".