428015629980 has 480 divisors, whose sum is σ = 1452092463360. Its totient is φ = 105188751360.

The previous prime is 428015629927. The next prime is 428015630011. The reversal of 428015629980 is 89926510824.

It is a happy number.

428015629980 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 1 + 5 + 629 + 9 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 438091252 + ... + 438092228.

It is an arithmetic number, because the mean of its divisors is an integer number (3025192632).

Almost surely, 2^428015629980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428015629980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726046231680).

428015629980 is an abundant number, since it is smaller than the sum of its proper divisors (1024076833380).

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

428015629980 is a wasteful number, since it uses less digits than its factorization.

428015629980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 428015629980 in words is "four hundred twenty-eight billion, fifteen million, six hundred twenty-nine thousand, nine hundred eighty".