428826276180240 has 160 divisors (see below), whose sum is σ = 1337908742824320. Its totient is φ = 113619494350848.

The previous prime is 428826276180217. The next prime is 428826276180241. The reversal of 428826276180240 is 42081672628824.

It is a happy number.

It is a super-2 number, since 2×428826276180240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (428826276180241) 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, 47067714 + ... + 55434846.

It is an arithmetic number, because the mean of its divisors is an integer number (8361929642652).

Almost surely, 2^{428826276180240} is an apocalyptic number.

428826276180240 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 428826276180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668954371412160).

428826276180240 is an abundant number, since it is smaller than the sum of its proper divisors (909082466644080).

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

428826276180240 is a wasteful number, since it uses less digits than its factorization.

428826276180240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368521 (or 8368515 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 428826276180240 in words is "four hundred twenty-eight trillion, eight hundred twenty-six billion, two hundred seventy-six million, one hundred eighty thousand, two hundred forty".