1292628480 has 480 divisors, whose sum is σ = 4937308992. Its totient is φ = 286556160.

The previous prime is 1292628457. The next prime is 1292628481. The reversal of 1292628480 is 848262921.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1292628480² = 3341776774614220800, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (1292628481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12080587 + ... + 12080693.

Almost surely, 2^1292628480 is an apocalyptic number.

1292628480 is a gapful number since it is divisible by the number (10) 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 1292628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468654496).

1292628480 is an abundant number, since it is smaller than the sum of its proper divisors (3644680512).

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

1292628480 is a wasteful number, since it uses less digits than its factorization.

1292628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1292628480 is about 35953.1428389786. The cubic root of 1292628480 is about 1089.3260935488.

The spelling of 1292628480 in words is "one billion, two hundred ninety-two million, six hundred twenty-eight thousand, four hundred eighty".