37642428 has 48 divisors (see below), whose sum is σ = 99983520. Its totient is φ = 12240000.

The previous prime is 37642427. The next prime is 37642481. The reversal of 37642428 is 82424673.

37642428 is a `hidden beast` number, since 3 + 7 + 642 + 4 + 2 + 8 = 666.

37642428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 37642392 and 37642401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37642427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178 + ... + 8678.

It is an arithmetic number, because the mean of its divisors is an integer number (2082990).

Almost surely, 2^37642428 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 37642428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49991760).

37642428 is an abundant number, since it is smaller than the sum of its proper divisors (62341092).

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

37642428 is a wasteful number, since it uses less digits than its factorization.

37642428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8547 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 37642428 is about 6135.3425332250. The cubic root of 37642428 is about 335.1396996620.

The spelling of 37642428 in words is "thirty-seven million, six hundred forty-two thousand, four hundred twenty-eight".