38028480 has 112 divisors (see below), whose sum is σ = 138013440. Its totient is φ = 8690688.

The previous prime is 38028461. The next prime is 38028491. The reversal of 38028480 is 8482083.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×38028480² = 2892330582220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3891 + ... + 9549.

Almost surely, 2^38028480 is an apocalyptic number.

38028480 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 38028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69006720).

38028480 is an abundant number, since it is smaller than the sum of its proper divisors (99984960).

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

38028480 is a wasteful number, since it uses less digits than its factorization.

38028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 38028480 is about 6166.7236033408. The cubic root of 38028480 is about 336.2815101089.

The spelling of 38028480 in words is "thirty-eight million, twenty-eight thousand, four hundred eighty".