428876152320 has 1280 divisors, whose sum is σ = 1860458637312. Its totient is φ = 81537269760.

The previous prime is 428876152307. The next prime is 428876152361. The reversal of 428876152320 is 23251678824.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 428876152320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 371964864 + ... + 371966016.

Almost surely, 2^428876152320 is an apocalyptic number.

428876152320 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 428876152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930229318656).

428876152320 is an abundant number, since it is smaller than the sum of its proper divisors (1431582484992).

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

428876152320 is a wasteful number, since it uses less digits than its factorization.

428876152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 428876152320 in words is "four hundred twenty-eight billion, eight hundred seventy-six million, one hundred fifty-two thousand, three hundred twenty".