1228824672 has 48 divisors (see below), whose sum is σ = 3227599872. Its totient is φ = 409362560.

The previous prime is 1228824629. The next prime is 1228824673. The reversal of 1228824672 is 2764288221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1228824672³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228824673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232297 + ... + 237527.

It is an arithmetic number, because the mean of its divisors is an integer number (67241664).

Almost surely, 2^1228824672 is an apocalyptic number.

1228824672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1228824672 is an abundant number, since it is smaller than the sum of its proper divisors (1998775200).

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

1228824672 is a wasteful number, since it uses less digits than its factorization.

1228824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7683 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 1228824672 is about 35054.5955903074. The cubic root of 1228824672 is about 1071.0998885947.

The spelling of 1228824672 in words is "one billion, two hundred twenty-eight million, eight hundred twenty-four thousand, six hundred seventy-two".