42628152 has 64 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 12038400.

The previous prime is 42628133. The next prime is 42628171. The reversal of 42628152 is 25182624.

It is an interprime number because it is at equal distance from previous prime (42628133) and next prime (42628171).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13527 + ... + 16377.

It is an arithmetic number, because the mean of its divisors is an integer number (1925100).

Almost surely, 2^42628152 is an apocalyptic number.

42628152 is a gapful number since it is divisible by the number (42) 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 42628152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

42628152 is an abundant number, since it is smaller than the sum of its proper divisors (80578248).

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

42628152 is a wasteful number, since it uses less digits than its factorization.

42628152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2952 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42628152 is about 6529.0238167738. The cubic root of 42628152 is about 349.3270115529.

The spelling of 42628152 in words is "forty-two million, six hundred twenty-eight thousand, one hundred fifty-two".