428133120 has 72 divisors (see below), whose sum is σ = 1367362416. Its totient is φ = 114167808.

The previous prime is 428133107. The next prime is 428133161. The reversal of 428133120 is 21331824.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51907 + ... + 59586.

Almost surely, 2^428133120 is an apocalyptic number.

428133120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428133120 is an abundant number, since it is smaller than the sum of its proper divisors (939229296).

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

428133120 is a wasteful number, since it uses less digits than its factorization.

428133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111517 (or 111503 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 428133120 is about 20691.3779144841. The cubic root of 428133120 is about 753.6903277486.

Adding to 428133120 its reverse (21331824), we get a palindrome (449464944).

It can be divided in two parts, 4281 and 33120, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 428133120 in words is "four hundred twenty-eight million, one hundred thirty-three thousand, one hundred twenty".