1233928080 has 400 divisors, whose sum is σ = 5345265024. Its totient is φ = 256296960.

The previous prime is 1233928057. The next prime is 1233928103. The reversal of 1233928080 is 808293321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1233928057) and next prime (1233928103).

It is a super-2 number, since 2×1233928080² = 3045157013224972800, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 497724 + ... + 500196.

Almost surely, 2^1233928080 is an apocalyptic number.

1233928080 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 1233928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672632512).

1233928080 is an abundant number, since it is smaller than the sum of its proper divisors (4111336944).

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

1233928080 is a wasteful number, since it uses less digits than its factorization.

1233928080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1233928080 is about 35127.3124505704. The cubic root of 1233928080 is about 1072.5806286882.

The spelling of 1233928080 in words is "one billion, two hundred thirty-three million, nine hundred twenty-eight thousand, eighty".