1128508416 has 440 divisors, whose sum is σ = 4128225840. Its totient is φ = 303464448.

The previous prime is 1128508369. The next prime is 1128508429. The reversal of 1128508416 is 6148058211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66382840 + ... + 66382856.

Almost surely, 2^1128508416 is an apocalyptic number.

1128508416 is a gapful number since it is divisible by the number (16) 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 1128508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064112920).

1128508416 is an abundant number, since it is smaller than the sum of its proper divisors (2999717424).

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

1128508416 is an frugal number, since it uses more digits than its factorization.

1128508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1128508416 is about 33593.2793278656. The cubic root of 1128508416 is about 1041.1219450365.

The spelling of 1128508416 in words is "one billion, one hundred twenty-eight million, five hundred eight thousand, four hundred sixteen".