70928000 has 256 divisors, whose sum is σ = 213857280. Its totient is φ = 23040000.

The previous prime is 70927999. The next prime is 70928057. The reversal of 70928000 is 82907.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287985 + ... + 2288015.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^70928000 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 70928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

70928000 is an abundant number, since it is smaller than the sum of its proper divisors (142929280).

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

70928000 is a wasteful number, since it uses less digits than its factorization.

70928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 70928000 is about 8421.8762755101. The cubic root of 70928000 is about 413.9417562972.

The spelling of 70928000 in words is "seventy million, nine hundred twenty-eight thousand".