1128229200 has 180 divisors, whose sum is σ = 4474692768. Its totient is φ = 257875200.

The previous prime is 1128229199. The next prime is 1128229217. The reversal of 1128229200 is 29228211.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1128229200² = 2545802255465280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2815 + ... + 47585.

Almost surely, 2^1128229200 is an apocalyptic number.

1128229200 is a gapful number since it is divisible by the number (10) 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 1128229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237346384).

1128229200 is an abundant number, since it is smaller than the sum of its proper divisors (3346463568).

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

1128229200 is a wasteful number, since it uses less digits than its factorization.

1128229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44802 (or 44788 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1128229200 is about 33589.1232395250. The cubic root of 1128229200 is about 1041.0360730191.

The spelling of 1128229200 in words is "one billion, one hundred twenty-eight million, two hundred twenty-nine thousand, two hundred".