428219120 has 160 divisors (see below), whose sum is σ = 1244491776. Its totient is φ = 133632000.

The previous prime is 428219117. The next prime is 428219123. The reversal of 428219120 is 21912824.

It is an interprime number because it is at equal distance from previous prime (428219117) and next prime (428219123).

It is a super-2 number, since 2×428219120² = 366743229467148800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428219123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294395 + ... + 295845.

Almost surely, 2^428219120 is an apocalyptic number.

428219120 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 428219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

428219120 is an abundant number, since it is smaller than the sum of its proper divisors (816272656).

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

428219120 is a wasteful number, since it uses less digits than its factorization.

428219120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 428219120 is about 20693.4559704270. The cubic root of 428219120 is about 753.7407894902.

It can be divided in two parts, 428 and 219120, that multiplied together give a triangular number (93783360 = T₁₃₆₉₅).

The spelling of 428219120 in words is "four hundred twenty-eight million, two hundred nineteen thousand, one hundred twenty".