623350728 has 480 divisors, whose sum is σ = 2422284480. Its totient is φ = 144633600.

The previous prime is 623350709. The next prime is 623350733. The reversal of 623350728 is 827053326.

623350728 is a `hidden beast` number, since 623 + 3 + 5 + 0 + 7 + 28 = 666.

It is a super-2 number, since 2×623350728² = 777132260196259968, which contains 22 as substring.

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 = 623350692 and 623350701.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20108073 + ... + 20108103.

It is an arithmetic number, because the mean of its divisors is an integer number (5046426).

Almost surely, 2^623350728 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 623350728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211142240).

623350728 is an abundant number, since it is smaller than the sum of its proper divisors (1798933752).

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

623350728 is a wasteful number, since it uses less digits than its factorization.

623350728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

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

The square root of 623350728 is about 24966.9927704560. The cubic root of 623350728 is about 854.2352533951.

The spelling of 623350728 in words is "six hundred twenty-three million, three hundred fifty thousand, seven hundred twenty-eight".