622657728 has 336 divisors, whose sum is σ = 2263322880. Its totient is φ = 158976000.

The previous prime is 622657699. The next prime is 622657729. The reversal of 622657728 is 827756226.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (622657729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4479483 + ... + 4479621.

It is an arithmetic number, because the mean of its divisors is an integer number (6736080).

Almost surely, 2^622657728 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 622657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131661440).

622657728 is an abundant number, since it is smaller than the sum of its proper divisors (1640665152).

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

622657728 is a wasteful number, since it uses less digits than its factorization.

622657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 622657728 is about 24953.1105876602. The cubic root of 622657728 is about 853.9185753110.

The spelling of 622657728 in words is "six hundred twenty-two million, six hundred fifty-seven thousand, seven hundred twenty-eight".