42520128 has 112 divisors (see below), whose sum is σ = 136209024. Its totient is φ = 11427840.

The previous prime is 42520117. The next prime is 42520129. The reversal of 42520128 is 82102524.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×42520128² = 3615922570272768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42520098 and 42520107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42520129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21918 + ... + 23778.

It is an arithmetic number, because the mean of its divisors is an integer number (1216152).

Almost surely, 2^42520128 is an apocalyptic number.

42520128 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 42520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104512).

42520128 is an abundant number, since it is smaller than the sum of its proper divisors (93688896).

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

42520128 is a wasteful number, since it uses less digits than its factorization.

42520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42520128 is about 6520.7459695958. The cubic root of 42520128 is about 349.0316854235.

The spelling of 42520128 in words is "forty-two million, five hundred twenty thousand, one hundred twenty-eight".