7628433120 has 1536 divisors, whose sum is σ = 37623398400. Its totient is φ = 1393459200.

The previous prime is 7628433107. The next prime is 7628433121. The reversal of 7628433120 is 213348267.

It is a happy number.

7628433120 is a `hidden beast` number, since 7 + 628 + 4 + 3 + 3 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628433121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107442685 + ... + 107442755.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 2^7628433120 is an apocalyptic number.

7628433120 is a gapful number since it is divisible by the number (70) 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 7628433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18811699200).

7628433120 is an abundant number, since it is smaller than the sum of its proper divisors (29994965280).

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

7628433120 is a wasteful number, since it uses less digits than its factorization.

7628433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7628433120 is about 87340.9017585690. The cubic root of 7628433120 is about 1968.5439454187.

The spelling of 7628433120 in words is "seven billion, six hundred twenty-eight million, four hundred thirty-three thousand, one hundred twenty".