428106240 has 240 divisors, whose sum is σ = 1571303448. Its totient is φ = 107347968.

The previous prime is 428106227. The next prime is 428106241. The reversal of 428106240 is 42601824.

428106240 is a `hidden beast` number, since 4 + 28 + 10 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 427993344 + 112896 = 20688^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (428106241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391134 + ... + 392226.

Almost surely, 2^428106240 is an apocalyptic number.

428106240 is a gapful number since it is divisible by the number (40) 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 428106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785651724).

428106240 is an abundant number, since it is smaller than the sum of its proper divisors (1143197208).

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

428106240 is a wasteful number, since it uses less digits than its factorization.

428106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 428106240 is about 20690.7283583735. The cubic root of 428106240 is about 753.6745541343.

The spelling of 428106240 in words is "four hundred twenty-eight million, one hundred six thousand, two hundred forty".