38572128 has 216 divisors, whose sum is σ = 134800848. Its totient is φ = 10243584.

The previous prime is 38572097. The next prime is 38572139. The reversal of 38572128 is 82127583.

38572128 is nontrivially palindromic in base 11.

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

Its product of digits (26880) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 38572092 and 38572101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727750 + ... + 727802.

It is an arithmetic number, because the mean of its divisors is an integer number (624078).

Almost surely, 2^38572128 is an apocalyptic number.

38572128 is a gapful number since it is divisible by the number (38) 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 38572128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400424).

38572128 is an abundant number, since it is smaller than the sum of its proper divisors (96228720).

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

38572128 is a wasteful number, since it uses less digits than its factorization.

38572128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 38572128 is about 6210.6463431756. The cubic root of 38572128 is about 337.8764063836.

The spelling of 38572128 in words is "thirty-eight million, five hundred seventy-two thousand, one hundred twenty-eight".