428548423680 has 1152 divisors, whose sum is σ = 1733415344640. Its totient is φ = 100902371328.

The previous prime is 428548423601. The next prime is 428548423741. The reversal of 428548423680 is 86324845824.

428548423680 is a `hidden beast` number, since 4 + 2 + 85 + 484 + 2 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×428548423680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18632540149 + ... + 18632540171.

It is an arithmetic number, because the mean of its divisors is an integer number (1504700820).

Almost surely, 2^428548423680 is an apocalyptic number.

428548423680 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 428548423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866707672320).

428548423680 is an abundant number, since it is smaller than the sum of its proper divisors (1304866920960).

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

428548423680 is an frugal number, since it uses more digits than its factorization.

428548423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 428548423680 in words is "four hundred twenty-eight billion, five hundred forty-eight million, four hundred twenty-three thousand, six hundred eighty".