38828160 has 320 divisors, whose sum is σ = 159952320. Its totient is φ = 8792064.

The previous prime is 38828131. The next prime is 38828177. The reversal of 38828160 is 6182883.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362827 + ... + 362933.

It is an arithmetic number, because the mean of its divisors is an integer number (499851).

Almost surely, 2^38828160 is an apocalyptic number.

38828160 is a gapful number since it is divisible by the number (30) 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 38828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976160).

38828160 is an abundant number, since it is smaller than the sum of its proper divisors (121124160).

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

38828160 is a wasteful number, since it uses less digits than its factorization.

38828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38828160 is about 6231.2245987446. The cubic root of 38828160 is about 338.6223376648.

The spelling of 38828160 in words is "thirty-eight million, eight hundred twenty-eight thousand, one hundred sixty".