38723328 has 162 divisors, whose sum is σ = 130255944. Its totient is φ = 11063808.

The previous prime is 38723303. The next prime is 38723339. The reversal of 38723328 is 82332783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×38723328² = 2998992262791168, which contains 22 as substring.

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.

Its product of digits (48384) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 38723292 and 38723301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5531901 + ... + 5531907.

Almost surely, 2^38723328 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 38723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65127972).

38723328 is an abundant number, since it is smaller than the sum of its proper divisors (91532616).

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

38723328 is an frugal number, since it uses more digits than its factorization.

38723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 38723328 is about 6222.8070836239. The cubic root of 38723328 is about 338.3173146069.

The spelling of 38723328 in words is "thirty-eight million, seven hundred twenty-three thousand, three hundred twenty-eight".