428897319840 has 480 divisors, whose sum is σ = 1691552237760. Its totient is φ = 101437747200.

The previous prime is 428897319797. The next prime is 428897319931. The reversal of 428897319840 is 48913798824.

428897319840 is a `hidden beast` number, since 428 + 8 + 97 + 31 + 98 + 4 + 0 = 666.

428897319840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5808271 + ... + 5881649.

It is an arithmetic number, because the mean of its divisors is an integer number (3524067162).

Almost surely, 2^428897319840 is an apocalyptic number.

428897319840 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 428897319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845776118880).

428897319840 is an abundant number, since it is smaller than the sum of its proper divisors (1262654917920).

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

428897319840 is a wasteful number, since it uses less digits than its factorization.

428897319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73458 (or 73441 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 428897319840 in words is "four hundred twenty-eight billion, eight hundred ninety-seven million, three hundred nineteen thousand, eight hundred forty".