416089728 has 96 divisors (see below), whose sum is σ = 1202947200. Its totient is φ = 138048000.

The previous prime is 416089727. The next prime is 416089777. The reversal of 416089728 is 827980614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×416089728² = 346261323494227968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (416089727) 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, 288433 + ... + 289871.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^416089728 is an apocalyptic number.

416089728 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 416089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

416089728 is an abundant number, since it is smaller than the sum of its proper divisors (786857472).

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

416089728 is a wasteful number, since it uses less digits than its factorization.

416089728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 416089728 is about 20398.2775743444. The cubic root of 416089728 is about 746.5558991014. Note that the first 3 decimals are identical.

The spelling of 416089728 in words is "four hundred sixteen million, eighty-nine thousand, seven hundred twenty-eight".