93077628 has 96 divisors (see below), whose sum is σ = 258187776. Its totient is φ = 25546752.

The previous prime is 93077623. The next prime is 93077641. The reversal of 93077628 is 82677039.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 93077628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93077623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263500 + ... + 263852.

It is an arithmetic number, because the mean of its divisors is an integer number (2689456).

Almost surely, 2^93077628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93077628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129093888).

93077628 is an abundant number, since it is smaller than the sum of its proper divisors (165110148).

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

93077628 is a wasteful number, since it uses less digits than its factorization.

93077628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 93077628 is about 9647.6747457613. The cubic root of 93077628 is about 453.1915139332.

The spelling of 93077628 in words is "ninety-three million, seventy-seven thousand, six hundred twenty-eight".