38537928 has 192 divisors, whose sum is σ = 129729600. Its totient is φ = 10160640.

The previous prime is 38537911. The next prime is 38537959. The reversal of 38537928 is 82973583.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (362880) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195526 + ... + 195722.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 2^38537928 is an apocalyptic number.

38537928 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 38537928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

38537928 is an abundant number, since it is smaller than the sum of its proper divisors (91191672).

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

38537928 is a wasteful number, since it uses less digits than its factorization.

38537928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 38537928 is about 6207.8923959747. The cubic root of 38537928 is about 337.7765174173.

It can be divided in two parts, 3853 and 7928, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 38537928 in words is "thirty-eight million, five hundred thirty-seven thousand, nine hundred twenty-eight".