67628448 has 144 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 20072448.

The previous prime is 67628437. The next prime is 67628459. The reversal of 67628448 is 84482676.

It is an interprime number because it is at equal distance from previous prime (67628437) and next prime (67628459).

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (516096) is a multiple of the sum of its prime divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92661 + ... + 93387.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^67628448 is an apocalyptic number.

67628448 is a gapful number since it is divisible by the number (68) 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 67628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

67628448 is an abundant number, since it is smaller than the sum of its proper divisors (147015072).

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

67628448 is a wasteful number, since it uses less digits than its factorization.

67628448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 67628448 is about 8223.6517435991. The cubic root of 67628448 is about 407.4207466282.

The spelling of 67628448 in words is "sixty-seven million, six hundred twenty-eight thousand, four hundred forty-eight".