42290928 has 90 divisors (see below), whose sum is σ = 124604376. Its totient is φ = 13364736.

The previous prime is 42290923. The next prime is 42290939. The reversal of 42290928 is 82909224.

It is a super-2 number, since 2×42290928² = 3577045182202368, which contains 22 as substring.

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 = 42290892 and 42290901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42290923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 374200 + ... + 374312.

Almost surely, 2^42290928 is an apocalyptic number.

42290928 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 42290928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62302188).

42290928 is an abundant number, since it is smaller than the sum of its proper divisors (82313448).

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

42290928 is a wasteful number, since it uses less digits than its factorization.

42290928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42290928 is about 6503.1475456120. The cubic root of 42290928 is about 348.4034164265.

The spelling of 42290928 in words is "forty-two million, two hundred ninety thousand, nine hundred twenty-eight".