42467328 has 100 divisors (see below), whose sum is σ = 126877575. Its totient is φ = 14155776.

The previous prime is 42467317. The next prime is 42467353. The reversal of 42467328 is 82376424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ (2!)⁷.

42467328 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 21233664 = 4608^2 + 4608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42467292 and 42467301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 14155775 + 14155776 + 14155777.

Almost surely, 2^42467328 is an apocalyptic number.

42467328 is a gapful number since it is divisible by the number (48) 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 42467328

42467328 is an abundant number, since it is smaller than the sum of its proper divisors (84410247).

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

42467328 is an frugal number, since it uses more digits than its factorization.

42467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 5 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42467328 is about 6516.6960954152. The cubic root of 42467328 is about 348.8871538238.

Multiplying 42467328 by its sum of digits (36), we get a cube (1528823808 = 1152³).

The spelling of 42467328 in words is "forty-two million, four hundred sixty-seven thousand, three hundred twenty-eight".