1128038400 has 480 divisors, whose sum is σ = 4424792130. Its totient is φ = 283115520.

The previous prime is 1128038347. The next prime is 1128038419. The reversal of 1128038400 is 48308211.

1128038400 is a `hidden beast` number, since 1 + 1 + 280 + 384 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 967458816 + 160579584 = 31104^2 + 12672^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66355192 + ... + 66355208.

Almost surely, 2^1128038400 is an apocalyptic number.

1128038400 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 1128038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212396065).

1128038400 is an abundant number, since it is smaller than the sum of its proper divisors (3296753730).

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

1128038400 is an frugal number, since it uses more digits than its factorization.

1128038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1128038400 is about 33586.2829143089. The cubic root of 1128038400 is about 1040.9773849201.

The spelling of 1128038400 in words is "one billion, one hundred twenty-eight million, thirty-eight thousand, four hundred".