1070252928 has 192 divisors, whose sum is σ = 3319879680. Its totient is φ = 329978880.

The previous prime is 1070252899. The next prime is 1070253001. The reversal of 1070252928 is 8292520701.

1070252928 is a `hidden beast` number, since 107 + 0 + 2 + 529 + 28 = 666.

1070252928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1070252928² = 2290882659785146368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1070252892 and 1070252901.

It is a congruent number.

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, 820725 + ... + 822027.

It is an arithmetic number, because the mean of its divisors is an integer number (17291040).

Almost surely, 2^1070252928 is an apocalyptic number.

1070252928 is a gapful number since it is divisible by the number (18) 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 1070252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659939840).

1070252928 is an abundant number, since it is smaller than the sum of its proper divisors (2249626752).

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

1070252928 is a wasteful number, since it uses less digits than its factorization.

1070252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1070252928 is about 32714.7203564389. The cubic root of 1070252928 is about 1022.8897064066.

The spelling of 1070252928 in words is "one billion, seventy million, two hundred fifty-two thousand, nine hundred twenty-eight".