428362872 has 128 divisors (see below), whose sum is σ = 1307197440. Its totient is φ = 114186240.

The previous prime is 428362853. The next prime is 428362873. The reversal of 428362872 is 278263824.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428362873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362122 + ... + 363302.

It is an arithmetic number, because the mean of its divisors is an integer number (10212480).

Almost surely, 2^428362872 is an apocalyptic number.

428362872 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 428362872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653598720).

428362872 is an abundant number, since it is smaller than the sum of its proper divisors (878834568).

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

428362872 is a wasteful number, since it uses less digits than its factorization.

428362872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 428362872 is about 20696.9290475665. The cubic root of 428362872 is about 753.8251229686.

The spelling of 428362872 in words is "four hundred twenty-eight million, three hundred sixty-two thousand, eight hundred seventy-two".