97949628 has 144 divisors (see below), whose sum is σ = 300303360. Its totient is φ = 27524448.

The previous prime is 97949627. The next prime is 97949629. The reversal of 97949628 is 82694979.

97949628 is a `hidden beast` number, since 9 + 7 + 9 + 4 + 9 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (97949627) and next prime (97949629).

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 (97949627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439125 + ... + 439347.

It is an arithmetic number, because the mean of its divisors is an integer number (2085440).

Almost surely, 2^97949628 is an apocalyptic number.

97949628 is a gapful number since it is divisible by the number (98) 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 97949628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151680).

97949628 is an abundant number, since it is smaller than the sum of its proper divisors (202353732).

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

97949628 is a wasteful number, since it uses less digits than its factorization.

97949628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 97949628 is about 9896.9504394030. The cubic root of 97949628 is about 460.9646235262.

The spelling of 97949628 in words is "ninety-seven million, nine hundred forty-nine thousand, six hundred twenty-eight".