42251328 has 168 divisors, whose sum is σ = 144780000. Its totient is φ = 12047616.

The previous prime is 42251323. The next prime is 42251351. The reversal of 42251328 is 82315224.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42251323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84423 + ... + 84921.

Almost surely, 2^42251328 is an apocalyptic number.

42251328 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 42251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72390000).

42251328 is an abundant number, since it is smaller than the sum of its proper divisors (102528672).

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

42251328 is a wasteful number, since it uses less digits than its factorization.

42251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42251328 is about 6500.1021530434. The cubic root of 42251328 is about 348.2946375112.

The spelling of 42251328 in words is "forty-two million, two hundred fifty-one thousand, three hundred twenty-eight".