1427888 has 80 divisors (see below), whose sum is σ = 3690240. Its totient is φ = 518400.

The previous prime is 1427887. The next prime is 1427893. The reversal of 1427888 is 8887241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1427887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23378 + ... + 23438.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2^1427888 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 1427888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845120).

1427888 is an abundant number, since it is smaller than the sum of its proper divisors (2262352).

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

1427888 is a wasteful number, since it uses less digits than its factorization.

1427888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 28672, while the sum is 38.

The square root of 1427888 is about 1194.9426764494. The cubic root of 1427888 is about 112.6068252801.

The spelling of 1427888 in words is "one million, four hundred twenty-seven thousand, eight hundred eighty-eight".