1128129408 has 384 divisors, whose sum is σ = 4031040000. Its totient is φ = 295612416.

The previous prime is 1128129407. The next prime is 1128129449. The reversal of 1128129408 is 8049218211.

1128129408 = T₄₉₇ + T₄₉₈ + ... + T₁₉₀₂.

It is a happy number.

1128129408 is a `hidden beast` number, since 1 + 128 + 129 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1128129408² = 2545351922388860928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128129407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5668893 + ... + 5669091.

It is an arithmetic number, because the mean of its divisors is an integer number (10497500).

Almost surely, 2^1128129408 is an apocalyptic number.

1128129408 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 1128129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015520000).

1128129408 is an abundant number, since it is smaller than the sum of its proper divisors (2902910592).

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

1128129408 is a wasteful number, since it uses less digits than its factorization.

1128129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1128129408 is about 33587.6377258062. The cubic root of 1128129408 is about 1041.0053788614.

The spelling of 1128129408 in words is "one billion, one hundred twenty-eight million, one hundred twenty-nine thousand, four hundred eight".