428289900192 has 1620 divisors, whose sum is σ = 1721562997770. Its totient is φ = 103943347200.

The previous prime is 428289900173. The next prime is 428289900193. The reversal of 428289900192 is 291009982824.

428289900192 is a `hidden beast` number, since 428 + 28 + 9 + 9 + 0 + 0 + 192 = 666.

It can be written as a sum of positive squares in only one way, i.e., 361831122576 + 66458777616 = 601524^2 + 257796^2 .

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

It is not an unprimeable number, because it can be changed into a prime (428289900193) by changing a digit.

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 269 ways as a sum of consecutive naturals, for example, 13815803217 + ... + 13815803247.

Almost surely, 2^428289900192 is an apocalyptic number.

428289900192 is a gapful number since it is divisible by the number (42) 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 428289900192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860781498885).

428289900192 is an abundant number, since it is smaller than the sum of its proper divisors (1293273097578).

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

428289900192 is a wasteful number, since it uses less digits than its factorization.

428289900192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 428289900192 in words is "four hundred twenty-eight billion, two hundred eighty-nine million, nine hundred thousand, one hundred ninety-two".