1954775328 has 288 divisors, whose sum is σ = 6298326720. Its totient is φ = 527155200.

The previous prime is 1954775323. The next prime is 1954775357. The reversal of 1954775328 is 8235774591.

It is a super-2 number, since 2×1954775328² = 7642293165915015168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1954775323) 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, 3751708 + ... + 3752228.

It is an arithmetic number, because the mean of its divisors is an integer number (21869190).

Almost surely, 2^1954775328 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 1954775328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149163360).

1954775328 is an abundant number, since it is smaller than the sum of its proper divisors (4343551392).

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

1954775328 is a wasteful number, since it uses less digits than its factorization.

1954775328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 573 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 1954775328 is about 44212.8412115756. The cubic root of 1954775328 is about 1250.3519708572.

The spelling of 1954775328 in words is "one billion, nine hundred fifty-four million, seven hundred seventy-five thousand, three hundred twenty-eight".