1238092128 has 480 divisors, whose sum is σ = 4661616960. Its totient is φ = 313528320.

The previous prime is 1238092127. The next prime is 1238092151. The reversal of 1238092128 is 8212908321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1238092092 and 1238092101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238092123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6840198 + ... + 6840378.

It is an arithmetic number, because the mean of its divisors is an integer number (9711702).

Almost surely, 2^1238092128 is an apocalyptic number.

1238092128 is a gapful number since it is divisible by the number (18) 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 1238092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330808480).

1238092128 is an abundant number, since it is smaller than the sum of its proper divisors (3423524832).

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

1238092128 is a wasteful number, since it uses less digits than its factorization.

1238092128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1238092128 is about 35186.5333330807. The cubic root of 1238092128 is about 1073.7857941767.

The spelling of 1238092128 in words is "one billion, two hundred thirty-eight million, ninety-two thousand, one hundred twenty-eight".