38428992 has 168 divisors, whose sum is σ = 130917696. Its totient is φ = 10948608.

The previous prime is 38428969. The next prime is 38429003. The reversal of 38428992 is 29982483.

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

It is a super-2 number, since 2×38428992² = 2953574852272128, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 108688 + ... + 109040.

It is an arithmetic number, because the mean of its divisors is an integer number (779272).

Almost surely, 2^38428992 is an apocalyptic number.

38428992 is a gapful number since it is divisible by the number (32) 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 38428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65458848).

38428992 is an abundant number, since it is smaller than the sum of its proper divisors (92488704).

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

38428992 is an equidigital number, since it uses as much as digits as its factorization.

38428992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 38428992 is about 6199.1121945001. The cubic root of 38428992 is about 337.4579503167.

The spelling of 38428992 in words is "thirty-eight million, four hundred twenty-eight thousand, nine hundred ninety-two".