38028276 has 144 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 10391040.

The previous prime is 38028241. The next prime is 38028299. The reversal of 38028276 is 67282083.

It is a happy number.

38028276 is a `hidden beast` number, since 380 + 2 + 8 + 276 = 666.

It is a super-2 number, since 2×38028276² = 2892299551064352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38028276.

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 47 ways as a sum of consecutive naturals, for example, 427240 + ... + 427328.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^38028276 is an apocalyptic number.

38028276 is a gapful number since it is divisible by the number (36) 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 38028276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

38028276 is an abundant number, since it is smaller than the sum of its proper divisors (77549004).

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

38028276 is a wasteful number, since it uses less digits than its factorization.

38028276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

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

The square root of 38028276 is about 6166.7070629308. The cubic root of 38028276 is about 336.2809087916.

The spelling of 38028276 in words is "thirty-eight million, twenty-eight thousand, two hundred seventy-six".