416077728 has 192 divisors, whose sum is σ = 1279660032. Its totient is φ = 117089280.

The previous prime is 416077721. The next prime is 416077747. The reversal of 416077728 is 827770614.

It is a self number, because there is not a number n which added to its sum of digits gives 416077728.

It is not an unprimeable number, because it can be changed into a prime (416077721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898425 + ... + 898887.

It is an arithmetic number, because the mean of its divisors is an integer number (6664896).

Almost surely, 2^416077728 is an apocalyptic number.

416077728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639830016).

416077728 is an abundant number, since it is smaller than the sum of its proper divisors (863582304).

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

416077728 is a wasteful number, since it uses less digits than its factorization.

416077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 416077728 is about 20397.9834297413. The cubic root of 416077728 is about 746.5487221583.

The spelling of 416077728 in words is "four hundred sixteen million, seventy-seven thousand, seven hundred twenty-eight".