4375628400 has 480 divisors, whose sum is σ = 16878419712. Its totient is φ = 954777600.

The previous prime is 4375628381. The next prime is 4375628401. The reversal of 4375628400 is 48265734.

It is a happy number.

It is a super-2 number, since 2×4375628400² = 38292247789773120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4375628401) 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, 7378504 + ... + 7379096.

Almost surely, 2^4375628400 is an apocalyptic number.

4375628400 is a gapful number since it is divisible by the number (40) 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 4375628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439209856).

4375628400 is an abundant number, since it is smaller than the sum of its proper divisors (12502791312).

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

4375628400 is a wasteful number, since it uses less digits than its factorization.

4375628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4375628400 is about 66148.5328635488. The cubic root of 4375628400 is about 1635.6114575576.

The spelling of 4375628400 in words is "four billion, three hundred seventy-five million, six hundred twenty-eight thousand, four hundred".