38028169800 has 216 divisors, whose sum is σ = 132272228790. Its totient is φ = 9790771200.

The previous prime is 38028169789. The next prime is 38028169807. The reversal of 38028169800 is 896182083.

It can be written as a sum of positive squares in 9 ways, for example, as 2368379556 + 35659790244 = 48666^2 + 188838^2 .

It is a super-2 number, since 2×38028169800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38028169807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1501240 + ... + 1526360.

Almost surely, 2^38028169800 is an apocalyptic number.

38028169800 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 38028169800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66136114395).

38028169800 is an abundant number, since it is smaller than the sum of its proper divisors (94244058990).

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

38028169800 is a wasteful number, since it uses less digits than its factorization.

38028169800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25201 (or 25160 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 38028169800 in words is "thirty-eight billion, twenty-eight million, one hundred sixty-nine thousand, eight hundred".