428235740308200 has 384 divisors, whose sum is σ = 1499456257228800. Its totient is φ = 100147770240000.

The previous prime is 428235740308177. The next prime is 428235740308241. The reversal of 428235740308200 is 2803047532824.

It is a super-2 number, since 2×428235740308200² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428235740308200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219329469 + ... + 221273331.

It is an arithmetic number, because the mean of its divisors is an integer number (3904834003200).

Almost surely, 2^{428235740308200} is an apocalyptic number.

428235740308200 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 428235740308200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749728128614400).

428235740308200 is an abundant number, since it is smaller than the sum of its proper divisors (1071220516920600).

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

428235740308200 is a wasteful number, since it uses less digits than its factorization.

428235740308200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945073 (or 1945064 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 428235740308200 in words is "four hundred twenty-eight trillion, two hundred thirty-five billion, seven hundred forty million, three hundred eight thousand, two hundred".