95628349440 has 832 divisors, whose sum is σ = 374516110080. Its totient is φ = 23003136000.

The previous prime is 95628349433. The next prime is 95628349457. The reversal of 95628349440 is 4494382659.

95628349440 is a `hidden beast` number, since 9 + 5 + 628 + 3 + 4 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380989315 + ... + 380989565.

Almost surely, 2^95628349440 is an apocalyptic number.

95628349440 is a gapful number since it is divisible by the number (90) 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 95628349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187258055040).

95628349440 is an abundant number, since it is smaller than the sum of its proper divisors (278887760640).

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

95628349440 is a wasteful number, since it uses less digits than its factorization.

95628349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 95628349440 in words is "ninety-five billion, six hundred twenty-eight million, three hundred forty-nine thousand, four hundred forty".