42761628 has 192 divisors, whose sum is σ = 144256000. Its totient is φ = 10637568.

The previous prime is 42761627. The next prime is 42761633. The reversal of 42761628 is 82616724.

42761628 is a `hidden beast` number, since 4 + 27 + 6 + 1 + 628 = 666.

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 = 42761592 and 42761601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42761627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186618 + ... + 186846.

Almost surely, 2^42761628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42761628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72128000).

42761628 is an abundant number, since it is smaller than the sum of its proper divisors (101494372).

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

42761628 is a wasteful number, since it uses less digits than its factorization.

42761628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42761628 is about 6539.2375702371. The cubic root of 42761628 is about 349.6912324494.

The spelling of 42761628 in words is "forty-two million, seven hundred sixty-one thousand, six hundred twenty-eight".