42452928 has 84 divisors (see below), whose sum is σ = 139080240. Its totient is φ = 12128256.

The previous prime is 42452899. The next prime is 42452929. The reversal of 42452928 is 82925424.

It is a tau number, because it is divible by the number of its divisors (84).

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 = 42452892 and 42452901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42452929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233 + ... + 9296.

Almost surely, 2^42452928 is an apocalyptic number.

42452928 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 42452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69540120).

42452928 is an abundant number, since it is smaller than the sum of its proper divisors (96627312).

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

42452928 is a wasteful number, since it uses less digits than its factorization.

42452928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10554 (or 10541 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42452928 is about 6515.5911473941. The cubic root of 42452928 is about 348.8477153251.

The spelling of 42452928 in words is "forty-two million, four hundred fifty-two thousand, nine hundred twenty-eight".