428152288320 has 560 divisors, whose sum is σ = 1566112192128. Its totient is φ = 110989025280.

The previous prime is 428152288303. The next prime is 428152288357. The reversal of 428152288320 is 23882251824.

428152288320 is a `hidden beast` number, since 4 + 28 + 1 + 522 + 8 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 134341767 + ... + 134344953.

Almost surely, 2^428152288320 is an apocalyptic number.

428152288320 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 428152288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783056096064).

428152288320 is an abundant number, since it is smaller than the sum of its proper divisors (1137959903808).

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

428152288320 is a wasteful number, since it uses less digits than its factorization.

428152288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 428152288320 in words is "four hundred twenty-eight billion, one hundred fifty-two million, two hundred eighty-eight thousand, three hundred twenty".