428119692 has 192 divisors, whose sum is σ = 1388620800. Its totient is φ = 99025920.

The previous prime is 428119691. The next prime is 428119693. The reversal of 428119692 is 296911824.

It is an interprime number because it is at equal distance from previous prime (428119691) and next prime (428119693).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (62208) is a multiple of the sum of its prime factors (1296).

It is not an unprimeable number, because it can be changed into a prime (428119691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347734 + ... + 348962.

It is an arithmetic number, because the mean of its divisors is an integer number (7232400).

Almost surely, 2^428119692 is an apocalyptic number.

428119692 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 428119692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694310400).

428119692 is an abundant number, since it is smaller than the sum of its proper divisors (960501108).

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

428119692 is a wasteful number, since it uses less digits than its factorization.

428119692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 428119692 is about 20691.0534289581. The cubic root of 428119692 is about 753.6824480658.

The spelling of 428119692 in words is "four hundred twenty-eight million, one hundred nineteen thousand, six hundred ninety-two".