428230900320 has 192 divisors, whose sum is σ = 1428831290880. Its totient is φ = 107435778048.

The previous prime is 428230900319. The next prime is 428230900351. The reversal of 428230900320 is 23009032824.

It is a super-2 number, since 2×428230900320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24626349 + ... + 24643731.

It is an arithmetic number, because the mean of its divisors is an integer number (7441829640).

Almost surely, 2^428230900320 is an apocalyptic number.

428230900320 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 428230900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714415645440).

428230900320 is an abundant number, since it is smaller than the sum of its proper divisors (1000600390560).

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

428230900320 is a wasteful number, since it uses less digits than its factorization.

428230900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 428230900320 in words is "four hundred twenty-eight billion, two hundred thirty million, nine hundred thousand, three hundred twenty".