17428000 has 48 divisors (see below), whose sum is σ = 42830424. Its totient is φ = 6969600.

The previous prime is 17427979. The next prime is 17428003. The reversal of 17428000 is 82471.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 5895184 = 3396^2 + 2428^2 .

It is not an unprimeable number, because it can be changed into a prime (17428003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822 + ... + 6178.

It is a vampire number, since it can be written as 2000 ⋅ 8714 (with its own digits).

Almost surely, 2^17428000 is an apocalyptic number.

17428000 is a gapful number since it is divisible by the number (10) 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 17428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415212).

17428000 is an abundant number, since it is smaller than the sum of its proper divisors (25402424).

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

17428000 is an equidigital number, since it uses as much as digits as its factorization.

17428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 17428000 is about 4174.6856169058. The cubic root of 17428000 is about 259.2681589286.

The spelling of 17428000 in words is "seventeen million, four hundred twenty-eight thousand".