7435628928 has 768 divisors, whose sum is σ = 28443018240. Its totient is φ = 1881169920.

The previous prime is 7435628927. The next prime is 7435628947. The reversal of 7435628928 is 8298265347.

7435628928 is a `hidden beast` number, since 7 + 4 + 3 + 5 + 628 + 9 + 2 + 8 = 666.

It is a super-3 number, since 3×7435628928³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7435628927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104727133 + ... + 104727203.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^7435628928 is an apocalyptic number.

7435628928 is a gapful number since it is divisible by the number (78) 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 7435628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221509120).

7435628928 is an abundant number, since it is smaller than the sum of its proper divisors (21007389312).

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

7435628928 is a wasteful number, since it uses less digits than its factorization.

7435628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 7435628928 is about 86230.0929374427. The cubic root of 7435628928 is about 1951.8176283081.

The spelling of 7435628928 in words is "seven billion, four hundred thirty-five million, six hundred twenty-eight thousand, nine hundred twenty-eight".