1188828480 has 224 divisors, whose sum is σ = 4541276160. Its totient is φ = 257402880.

The previous prime is 1188828449. The next prime is 1188828521. The reversal of 1188828480 is 848288811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1188828480² = 2826626309718220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123025 + ... + 132335.

Almost surely, 2^1188828480 is an apocalyptic number.

1188828480 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 1188828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270638080).

1188828480 is an abundant number, since it is smaller than the sum of its proper divisors (3352447680).

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

1188828480 is a wasteful number, since it uses less digits than its factorization.

1188828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 48.

The square root of 1188828480 is about 34479.3921060102. The cubic root of 1188828480 is about 1059.3506406108.

The spelling of 1188828480 in words is "one billion, one hundred eighty-eight million, eight hundred twenty-eight thousand, four hundred eighty".