38928960 has 168 divisors, whose sum is σ = 153107136. Its totient is φ = 8893440.

The previous prime is 38928959. The next prime is 38929001. The reversal of 38928960 is 6982983.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19195 + ... + 21125.

It is an arithmetic number, because the mean of its divisors is an integer number (911352).

Almost surely, 2^38928960 is an apocalyptic number.

38928960 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 38928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76553568).

38928960 is an abundant number, since it is smaller than the sum of its proper divisors (114178176).

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

38928960 is a wasteful number, since it uses less digits than its factorization.

38928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 38928960 is about 6239.3076538988. The cubic root of 38928960 is about 338.9151117495.

The spelling of 38928960 in words is "thirty-eight million, nine hundred twenty-eight thousand, nine hundred sixty".