38428632 has 96 divisors (see below), whose sum is σ = 114762960. Its totient is φ = 11616000.

The previous prime is 38428631. The next prime is 38428661. The reversal of 38428632 is 23682483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38428631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95632 + ... + 96032.

Almost surely, 2^38428632 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 38428632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57381480).

38428632 is an abundant number, since it is smaller than the sum of its proper divisors (76334328).

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

38428632 is a wasteful number, since it uses less digits than its factorization.

38428632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38428632 is about 6199.0831580162. The cubic root of 38428632 is about 337.4568965529.

It can be divided in two parts, 38428 and 632, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 38428632 in words is "thirty-eight million, four hundred twenty-eight thousand, six hundred thirty-two".